12 NCERT CBSE Micro Economics Production and Cost

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Theme Analysis

Main ThemeProduction and Costs in Microeconomics

Subject CategoryMicroeconomics

Key Concepts

Production FunctionShort Run and Long RunTotal, Average, and Marginal ProductLaw of Variable ProportionsReturns to ScaleShort Run Costs (TFC, TVC, TC, AFC, AVC, SAC, SMC)Long Run Costs (LRAC, LRMC)Relationships between Cost and Product Curves

Question FocusQuestions cover core definitions, relationships, and applications within production theory and cost analysis. Difficulty is mixed, ranging from recall to analytical application, ensuring comprehensive coverage of the document's key concepts. Emphasis is placed on distinguishing between short-run and long-run concepts and understanding the shapes and interactions of product and cost curves.

Q1

MCQ Remember Basic Concepts

What is the primary objective assumed for a firm in the study of production and costs?

A To minimize its total cost of production.

B To maximize its market share.

C To maximize the profit it can earn.

D To maximize its total revenue.

Hint: Think about the ultimate goal that drives a firm's decisions regarding production and sales.

Answer

The primary objective of a firm is assumed to be earning the maximum profit possible.

Explanation

The document states, 'We assume that the objective of a firm is to earn the maximum profit that it can.' Profit is defined as the difference between revenue and cost, and firms aim to maximize this difference.

Q2

MCQ Remember Production Function

Which of the following best defines a production function?

A The financial relationship between a firm's revenue and its expenses.

B A relationship between inputs used and the maximum quantity of output that can be produced.

C The process by which goods and services are distributed to consumers.

D A schedule showing the prices at which a firm is willing to sell its output.

Hint: Consider what a production function tells you about the transformation of resources into goods or services.

Answer

A production function is a relationship between inputs used and the maximum quantity of output that can be produced.

Explanation

The text states, 'The production function of a firm is a relationship between inputs used and output produced by the firm. For various quantities of inputs used, it gives the maximum quantity of output that can be produced.'

Q3

MCQ Understand Production Function Characteristics

If a production function is defined as dealing only with the efficient use of inputs, what does this imply?

A It is always possible to get more output from the same level of inputs by improving technology.

B The firm is operating at a point where it cannot reduce costs further without reducing output.

C It is not possible to get any more output from the same level of inputs.

D The firm is using the cheapest possible combination of inputs.

Hint: Think about the definition of 'efficiency' in the context of maximizing output from given inputs.

Answer

Efficiency implies that it is not possible to get any more output from the same level of inputs.

Explanation

The document clarifies, 'Since by definition we are taking the maximum output for any level of inputs, a production function deals only with the efficient use of inputs. Efficiency implies that it is not possible to get any more output from the same level of inputs.'

Q4

MCQ Remember Short Run vs. Long Run

In the short run, which of the following statements about factors of production is true?

A All factors of production can be varied.

B At least one factor cannot be varied and remains fixed.

C Only capital can be varied, while labour remains fixed.

D The firm can choose to vary any factor it wishes.

Hint: Recall the defining characteristic that differentiates the short run from the long run.

Answer

In the short run, at least one of the factors of production cannot be varied and therefore remains fixed.

Explanation

The text defines the short run: 'In the short run, at least one of the factor – labour or capital – cannot be varied, and therefore, remains fixed.'

Q5

MCQ Understand Short Run vs. Long Run

How is the distinction between the short run and the long run defined in economics?

A By specific calendar periods, such as days, months, or years.

B By whether all inputs can be varied or not.

C By the type of output produced by the firm.

D By the total amount of capital employed by the firm.

Hint: The definition is not based on chronological time but on the flexibility of inputs.

Answer

A period is defined as long run or short run simply by looking at whether all the inputs can be varied or not.

Explanation

The document states, 'It is not advisable to define short run and long run in terms of say, days, months or years. We define a period as long run or short run simply by looking at whether all the inputs can be varied or not.'

Q6

MCQ Remember Productivity Measures

What is Total Product (TP) of a variable input?

A The output produced per unit of the variable input.

B The change in output per unit change in the variable input.

C The total output produced by varying a single input while keeping all other inputs constant.

D The sum of all fixed and variable inputs used in production.

Hint: Consider how total product relates to varying one input while others are held steady.

Answer

Total Product (TP) is the total output produced by varying a single input while keeping all other inputs constant.

Explanation

The text defines Total Product: 'Suppose we vary a single input and keep all other inputs constant. Then for different levels of that input, we get different levels of output. This relationship between the variable input and output, keeping all other inputs constant, is often referred to as Total Product (TP) of the variable input.'

Q7

MCQ Remember Productivity Measures

How is Average Product (AP) of a variable input calculated?

A Change in Total Product divided by change in the variable input.

B Total Product divided by the quantity of the variable input.

C Total Product multiplied by the quantity of the variable input.

D Total output divided by the number of fixed inputs.

Hint: Think about 'average' meaning 'per unit' of the variable input.

Answer

Average Product is calculated as Total Product divided by the quantity of the variable input (AP_L = TP_L / L).

Explanation

The document states, 'Average product is defined as the output per unit of variable input. We calculate it as AP_L = TP_L / L (3.2).'

Q8

MCQ Remember Productivity Measures

What does Marginal Product (MP) of an input represent?

A The total output produced by all units of that input.

B The average output produced by each unit of that input.

C The change in output per unit of change in the input when all other inputs are held constant.

D The cost incurred to employ one additional unit of that input.

Hint: Marginal refers to the 'additional' or 'incremental' change.

Answer

Marginal product of an input is defined as the change in output per unit of change in the input when all other inputs are held constant.

Explanation

The text defines Marginal Product: 'Marginal product of an input is defined as the change in output per unit of change in the input when all other inputs are held constant.'

Q9

MCQ Understand Productivity Relationships

What is the relationship between Total Product (TP) and Marginal Product (MP)?

A TP is the average of all MP values up to a certain level of input.

B TP increases at a constant rate when MP is positive.

C The sum of marginal products of every preceding unit of an input gives the total product.

D TP falls when MP is positive but decreasing.

Hint: Consider how adding incremental units (marginal) contributes to the overall total.

Answer

For any level of an input, the sum of marginal products of every preceding unit of that input gives the total product.

Explanation

The document states, 'For any level of an input, the sum of marginal products of every preceding unit of that input gives the total product. So total product is the sum of marginal products.'

Q10

MCQ Remember Law of Variable Proportions

The Law of Variable Proportions states that the marginal product of a factor input initially rises with its employment level. What happens after reaching a certain level of employment?

A It continues to rise at a decreasing rate.

B It starts falling.

C It becomes constant.

D It becomes zero and then negative.

Hint: Recall the typical pattern of marginal product as more variable input is added to a fixed input.

Answer

After reaching a certain level of employment, the marginal product of a factor input starts falling.

Explanation

The text explicitly states the Law of Variable Proportions: 'Law of variable proportions say that the marginal product of a factor input initially rises with its employment level. But after reaching a certain level of employment, it starts falling.'

Q11

MCQ Understand Law of Variable Proportions

What is the primary reason for the Law of Diminishing Marginal Product?

A Decreases in the quality of the variable input.

B Changes in factor proportions, leading to inefficiencies when a fixed factor becomes 'crowded'.

C Increases in the price of the variable input.

D Technological improvements that make production more efficient.

Hint: Think about how the balance between fixed and variable inputs changes as more of the variable input is added.

Answer

The Law of Diminishing Marginal Product occurs due to changes in factor proportions, where increasing a variable input relative to a fixed input eventually leads to 'crowding' and reduced efficiency.

Explanation

The document explains, 'As we hold one factor fixed and keep increasing the other, the factor proportions change. Initially, as we increase the amount of the variable input, the factor proportions become more and more suitable for the production and marginal product increases. But after a certain level of employment, the production process becomes too crowded with the variable input... The marginal product begins to fall.'

Q12

MCQ Analyze Productivity Curve Shapes

When the Marginal Product (MP) of labour is greater than the Average Product (AP) of labour, what can be inferred about the AP curve?

A AP must be falling.

B AP must be rising.

C AP must be at its maximum.

D AP must be constant.

Hint: Consider the relationship between marginal values and average values; if the 'new' value is higher than the average, what happens to the average?

Answer

As long as the value of MP remains higher than the value of the AP, the AP continues to rise.

Explanation

The text states, 'As long as the value of MP remains higher than the value of the AP, the AP continues to rise. Otherwise, AP cannot rise. Similarly, when AP falls, MP has to be less than AP. It, follows that MP curve cuts AP curve from above at its maximum.'

Q13

MCQ Remember Isoquants

What does an isoquant represent?

A The set of all possible combinations of two inputs that yield the same maximum possible level of output.

B The different levels of output that can be produced with a single variable input.

C The combinations of inputs that result in the same total cost.

D The relationship between the price of inputs and the quantity demanded.

Hint: Think of 'iso' meaning 'same' and 'quant' referring to quantity of output.

Answer

An isoquant is the set of all possible combinations of the two inputs that yield the same maximum possible level of output.

Explanation

The text defines an isoquant: 'An isoquant is the set of all possible combinations of the two inputs that yield the same maximum possible level of output. Each isoquant represents a particular level of output and is labelled with that amount of output.'

Q14

MCQ Understand Isoquants

Why are isoquants typically negatively sloped?

A Because increasing one input always leads to decreasing returns to scale.

B Because with a greater amount of one input, the same level of output can be produced only using a lesser amount of the other, assuming positive marginal products.

C Because they represent fixed factor proportions.

D Because the marginal product of both inputs eventually becomes negative.

Hint: If you want to keep output constant and use more of one input, what must happen to the other input if both are productive?

Answer

Isoquants are negatively sloped because, when marginal products are positive, with a greater amount of one input, the same level of output can be produced only using a lesser amount of the other.

Explanation

The document states, 'When marginal products are positive, with greater amount of one input, the same level of output can be produced only using lesser amount of the other. Therefore, isoquants are negatively sloped.'

Q15

MCQ Remember Returns to Scale

When a proportional increase in all inputs results in an increase in output by the same proportion, what kind of returns to scale does the production function display?

A Increasing Returns to Scale (IRS)

B Decreasing Returns to Scale (DRS)

C Constant Returns to Scale (CRS)

D Law of Variable Proportions

Hint: Consider the term that means output changes 'in proportion' to input changes.

Answer

This situation displays Constant Returns to Scale (CRS).

Explanation

The text defines Constant Returns to Scale: 'When a proportional increase in all inputs results in an increase in output by the same proportion, the production function is said to display Constant returns to scale (CRS).'

Q16

MCQ Understand Returns to Scale

If a firm doubles all its inputs and its output more than doubles, what type of returns to scale is it experiencing?

A Constant Returns to Scale (CRS)

B Decreasing Returns to Scale (DRS)

C Increasing Returns to Scale (IRS)

D Negative Returns to Scale

Hint: Compare the percentage change in output to the percentage change in inputs.

Answer

This firm is experiencing Increasing Returns to Scale (IRS).

Explanation

The text explains, 'When a proportional increase in all inputs results in an increase in output by a larger proportion, the production function is said to display Increasing Returns to Scale (IRS)... For example, suppose in a production process, all inputs get doubled. As a result, if the output gets doubled, the production function exhibits CRS. If output is less than doubled, then DRS holds, and if it is more than doubled, then IRS holds.'

Q17

MCQ Apply Cobb-Douglas Production Function

For a Cobb-Douglas production function, q = x1^α x2^β, what condition on α + β indicates Increasing Returns to Scale (IRS)?

A α + β = 1

B α + β < 1

C α + β > 1

D α = β

Hint: Recall the specific rule for the sum of the exponents in a Cobb-Douglas function and its relation to returns to scale.

Answer

For a Cobb-Douglas production function, α + β > 1 indicates Increasing Returns to Scale (IRS).

Explanation

The text specifies, 'When α + β = 1, we have q1 = tq0. That is, the output increases t times. So the production function exhibits CRS. Similarly, when α + β > 1, the production function exhibits IRS. When α + β < 1 the production function exhibits DRS.'

Q18

MCQ Remember Cost Concepts

What is Total Fixed Cost (TFC)?

A The cost that varies with the level of output produced.

B The cost incurred to employ variable inputs.

C The cost a firm incurs to employ fixed inputs, which remains constant regardless of output level.

D The sum of all costs incurred by the firm.

Hint: Fixed costs are associated with inputs that cannot be varied in the short run.

Answer

Total Fixed Cost (TFC) is the cost a firm incurs to employ fixed inputs, which remains constant regardless of the output level.

Explanation

The document defines TFC: 'The cost that a firm incurs to employ these fixed inputs is called the total fixed cost (TFC). Whatever amount of output the firm produces, this cost remains fixed for the firm.'

Q19

MCQ Remember Cost Concepts

How is Total Cost (TC) calculated in the short run?

A Total Fixed Cost (TFC) minus Total Variable Cost (TVC).

B Total Variable Cost (TVC) only, as TFC is zero.

C Total Variable Cost (TVC) plus Total Fixed Cost (TFC).

D Average Fixed Cost (AFC) plus Average Variable Cost (AVC).

Hint: Total cost combines both types of short-run costs.

Answer

Total Cost (TC) is calculated as the sum of Total Variable Cost (TVC) and Total Fixed Cost (TFC).

Explanation

The text gives the formula: 'Adding the fixed and the variable costs, we get the total cost (TC) of a firm TC = TVC + TFC (3.6).'

Q20

MCQ Remember Average Cost Concepts

What is Short Run Average Cost (SAC)?

A The total variable cost per unit of output.

B The total cost per unit of output.

C The total fixed cost per unit of output.

D The change in total cost per unit change in output.

Hint: Average cost typically refers to the total cost divided by the quantity produced.

Answer

Short Run Average Cost (SAC) is defined as the total cost per unit of output.

Explanation

The document defines SAC: 'The short run average cost (SAC) incurred by the firm is defined as the total cost per unit of output. We calculate it as SAC = TC / q (3.7).'

Q21

MCQ Understand Average Cost Concepts

Which of the following relationships between short-run average costs is correct?

A SAC = AVC - AFC

B SAC = AFC / AVC

C SAC = AVC + AFC

D SAC = SMC + AVC

Hint: Total cost is the sum of fixed and variable costs; how does this translate to average costs?

Answer

The correct relationship is SAC = AVC + AFC.

Explanation

The text explicitly states this relationship: 'Clearly, SAC = AVC + AFC (3.10).'

Q22

MCQ Remember Marginal Cost

What is Short Run Marginal Cost (SMC)?

A The total variable cost at a given level of output.

B The total fixed cost incurred per unit of output.

C The change in total cost per unit of change in output.

D The average of all costs up to a certain output level.

Hint: Marginal cost refers to the additional cost for producing one more unit.

Answer

Short Run Marginal Cost (SMC) is defined as the change in total cost per unit of change in output.

Explanation

The document states, 'The short run marginal cost (SMC) is defined as the change in total cost per unit of change in output SMC = ΔTC / Δq (3.11).'

Q23

MCQ Understand Marginal Cost

In the short run, if a firm increases its output by one unit, what is the source of the change in total cost?

A Entirely due to the change in total fixed cost.

B Entirely due to the change in total variable cost.

C Equally due to changes in both total fixed cost and total variable cost.

D Due to changes in average fixed cost.

Hint: Recall which cost component is flexible and which is fixed in the short run.

Answer

In the short run, any change in total cost due to a change in output is entirely due to the change in total variable cost.

Explanation

The text clarifies, 'It is important to note here that in the short run, fixed cost cannot be changed. When we change the level of output, whatever change occurs to total cost is entirely due to the change in total variable cost. So in the short run, marginal cost is the increase in TVC due to increase in production of one extra unit of output.'

Q24

MCQ Understand Cost Curve Shapes

What is the typical shape of the Total Fixed Cost (TFC) curve when plotted against output?

A An upward-sloping curve.

B A downward-sloping curve.

C A horizontal straight line.

D A U-shaped curve.

Hint: Fixed costs remain constant regardless of production volume.

Answer

The TFC curve is a horizontal straight line because fixed costs do not change with the level of output.

Explanation

The document describes TFC: 'Total fixed cost, however, is independent of the amount of output produced and remains constant for all levels of production... It is, therefore, a horizontal straight line cutting the cost axis at the point c1.'

Q25

MCQ Understand Cost Curve Shapes

What is the typical shape of the Average Fixed Cost (AFC) curve?

A U-shaped.

B Horizontal straight line.

C Rectangular hyperbola, decreasing as output increases.

D Upward sloping.

Hint: Think about what happens when a constant total is divided by an increasing quantity.

Answer

The AFC curve is a rectangular hyperbola, decreasing as output increases.

Explanation

The text explains, 'AFC is the ratio of TFC to q. TFC is a constant. Therefore, as q increases, AFC decreases... AFC curve is, in fact, a rectangular hyperbola.'

Q26

MCQ Understand Cost Curve Shapes

Why is the Short Run Marginal Cost (SMC) curve typically 'U'-shaped?

A Because total fixed costs are constant.

B Due to the Law of Variable Proportions, where marginal product initially increases and then decreases.

C Because average variable cost always falls.

D Because firms aim to minimize costs at all output levels.

Hint: Relate the behavior of marginal cost to the productivity of the variable input.

Answer

The SMC curve is 'U'-shaped because of the Law of Variable Proportions, which dictates that marginal product initially increases (leading to falling marginal cost) and then decreases (leading to rising marginal cost).

Explanation

The document states, 'According to the law of variable proportions, initially, the marginal product of a factor increases as employment increases, and then after a certain point, it decreases. This means initially to produce every extra unit of output, the requirement of the factor becomes less and less, and then after a certain point, it becomes greater and greater. As a result, with the factor price given, initially the SMC falls, and then after a certain point, it rises. SMC curve is, therefore, ‘U’-shaped.'

Q27

MCQ Analyze Cost Curve Relationships

At what point does the Short Run Marginal Cost (SMC) curve intersect the Average Variable Cost (AVC) curve?

A At the maximum point of the AVC curve.

B At the minimum point of the AVC curve.

C At the point where AVC equals Average Fixed Cost (AFC).

D SMC never intersects AVC; it always lies above it.

Hint: Consider the general rule for how marginal values interact with average values when the average is at its lowest point.

Answer

The SMC curve cuts the AVC curve from below at the minimum point of AVC.

Explanation

The text explains, 'As long as AVC is falling, SMC must be less than the AVC. As AVC rises, SMC must be greater than the AVC. So the SMC curve cuts the AVC curve from below at the minimum point of AVC.'

Q28

MCQ Analyze Cost Curve Relationships

When Short Run Average Cost (SAC) is falling, what is the relationship between SMC and SAC?

A SMC is greater than SAC.

B SMC is equal to SAC.

C SMC is less than SAC.

D SMC is zero.

Hint: If the average is decreasing, the marginal 'pull' must be lower than the current average.

Answer

When SAC is falling, SMC must be less than SAC.

Explanation

The document states, 'Similar to the case of AVC and SMC, as long as SAC is falling, SMC is less than the SAC. When SAC is rising, SMC is greater than the SAC. SMC curve cuts the SAC curve from below at the minimum point of SAC.'

Q29

MCQ Understand Long Run Costs

In the long run, what is the relationship between Total Cost (TC) and Total Variable Cost (TVC)?

A TC is always greater than TVC due to fixed costs.

B TC and TVC coincide because there are no fixed costs.

C TVC is always greater than TC.

D They are unrelated in the long run.

Hint: Recall the defining characteristic of the long run regarding factor variability.

Answer

In the long run, TC and TVC coincide because all inputs are variable, meaning there are no fixed costs.

Explanation

The text states, 'In the long run, all inputs are variable. There are no fixed costs. The total cost and the total variable cost therefore, coincide in the long run.'

Q30

MCQ Remember Long Run Costs

How is Long Run Average Cost (LRAC) defined?

A The change in total cost per unit of change in output in the long run.

B The total fixed cost per unit of output in the long run.

C The total variable cost per unit of output in the long run.

D Cost per unit of output in the long run.

Hint: Average cost is always total cost divided by quantity, whether short run or long run.

Answer

Long Run Average Cost (LRAC) is defined as cost per unit of output in the long run.

Explanation

The document states, 'Long run average cost (LRAC) is defined as cost per unit of output, i.e. LRAC = TC / q (3.13).'

Q31

MCQ Understand Long Run Cost Curve Shapes

What type of returns to scale corresponds to the downward-sloping part of the Long Run Average Cost (LRAC) curve?

A Constant Returns to Scale (CRS)

B Decreasing Returns to Scale (DRS)

C Increasing Returns to Scale (IRS)

D Negative Returns to Scale

Hint: If average cost is falling, it means output is growing proportionally faster than inputs and costs.

Answer

The downward-sloping part of the LRAC curve corresponds to Increasing Returns to Scale (IRS).

Explanation

The text explains, 'IRS implies that if we increase all the inputs by a certain proportion, output increases by more than that proportion... it must be the case that as long as IRS operates, average cost falls as the firm increases output... Accordingly, the LRAC curve is a ‘U’-shaped curve. Its downward sloping part corresponds to IRS...'

Q32

MCQ Understand Long Run Cost Curve Shapes

What type of returns to scale is observed at the minimum point of the Long Run Average Cost (LRAC) curve?

A Increasing Returns to Scale (IRS)

B Decreasing Returns to Scale (DRS)

C Constant Returns to Scale (CRS)

D Variable Returns to Scale

Hint: Where the average cost stops falling and starts rising, what happens to the proportional relationship between inputs and output?

Answer

At the minimum point of the LRAC curve, Constant Returns to Scale (CRS) are observed.

Explanation

The document states, 'It is argued that in a typical firm IRS is observed at the initial level of production. This is then followed by the CRS and then by the DRS. Accordingly, the LRAC curve is a ‘U’-shaped curve... At the minimum point of the LRAC curve, CRS is observed.'

Q33

MCQ Analyze Long Run Cost Curve Relationships

The Long Run Marginal Cost (LRMC) curve cuts the Long Run Average Cost (LRAC) curve from below at what specific point?

A At the maximum point of the LRAC curve.

B At the point where LRAC is equal to zero.

C At the minimum point of the LRAC curve.

D LRMC always lies above LRAC.

Hint: This relationship is similar to that between SMC and SAC/AVC.

Answer

The LRMC curve cuts the LRAC curve from below at the minimum point of the LRAC.

Explanation

The text states, 'LRMC curve is therefore a ‘U’-shaped curve. It cuts the LRAC curve from below at the minimum point of the LRAC.'

Q34

MCQ Understand Cost Function

What does a cost function describe?

A The maximum output that can be produced from given inputs.

B The least cost of producing each level of output given prices of factors of production and technology.

C The relationship between total revenue and total cost.

D The amount of profit a firm earns at different output levels.

Hint: A firm's decision to produce a certain output involves choosing the most economical way to do so.

Answer

The cost function describes the least cost of producing each level of output given prices of factors of production and technology.

Explanation

The document explains, 'So, for every level of output, the firm chooses the least cost input combination. Thus the cost function describes the least cost of producing each level of output given prices of factors of production and technology.'

Q35

MCQ Apply Productivity Calculation

A firm's Total Product (TP) increases from 24 units to 40 units when labour increases from 2 units to 3 units (keeping capital fixed). What is the Marginal Product (MP) of the 3rd unit of labour?

A 8 units

B 12 units

C 16 units

D 40 units

Hint: Marginal product is the change in total product divided by the change in the variable input.

Answer

The Marginal Product of the 3rd unit of labour is 16 units (40 - 24 = 16).

Explanation

Using the formula MP_L = ΔTP_L / ΔL: Change in TP = 40 - 24 = 16. Change in L = 3 - 2 = 1. So, MP_L = 16 / 1 = 16 units. This calculation aligns with Table 3.2's example where MP for L=3 is 16.

Q36

MCQ Apply Productivity Calculation

Using the data from Table 3.2 (Labour=4, TP=50), what is the Average Product (AP) of labour?

A 10 units

B 12.5 units

C 50 units

D 4 units

Hint: Average product is total product divided by the quantity of labour.

Answer

The Average Product (AP) of labour is 12.5 units (50 / 4 = 12.5).

Explanation

From the formula AP_L = TP_L / L, if TP_L = 50 and L = 4, then AP_L = 50 / 4 = 12.5 units. This matches Table 3.2.

Q37

MCQ Analyze Production Function Properties

Consider the production function q = K × L. If 1 unit of labour and 1 unit of capital produce 1 unit of output, what happens if either K or L becomes zero?

A Output remains positive but decreases significantly.

B Output becomes zero, as both inputs are necessary for production.

C Output increases, as the remaining input becomes more concentrated.

D The production function becomes undefined.

Hint: Look at the multiplication in the given function. What happens if one factor is zero?

Answer

If either K or L becomes zero in the production function q = K × L, output becomes zero, indicating both inputs are necessary.

Explanation

The text states, 'In our example [q = K × L], both the inputs are necessary for the production. If any of the inputs becomes zero, there will be no production. With both inputs positive, output will be positive.'

Q38

MCQ Understand Technology and Production

How does an improvement in technology affect a firm's production function?

A It increases the cost of inputs, leading to a new production function.

B It decreases the maximum levels of output obtainable for different input combinations, requiring a new production function.

C It increases the maximum levels of output obtainable for different input combinations, leading to a new production function.

D It does not affect the production function itself, only the firm's profit.

Hint: Technology generally enhances efficiency. How does efficiency relate to maximum output?

Answer

If technology improves, the maximum levels of output obtainable for different input combinations increase, resulting in a new production function.

Explanation

The document explains, 'A production function is defined for a given technology. It is the technological knowledge that determines the maximum levels of output that can be produced using different combinations of inputs. If the technology improves, the maximum levels of output obtainable for different input combinations increase. We then have a new production function.'

Q39

MCQ Understand Factor Proportions

What happens to factor proportions when one factor is held fixed and the other is increased?

A Factor proportions remain constant, leading to constant returns to scale.

B Factor proportions change, which is the basis for the Law of Variable Proportions.

C Factor proportions become fixed, leading to decreasing marginal product.

D Factor proportions become irrelevant for production decisions.

Hint: The 'Law of Variable Proportions' itself suggests something is changing in the 'proportions'.

Answer

When one factor is held fixed and the other is increased, the factor proportions change, which is the underlying reason for the Law of Variable Proportions.

Explanation

The text states, 'The law of variable proportions arises because factor proportions change as long as one factor is held constant and the other is increased.' It defines factor proportions as 'the ratio in which the two inputs are combined to produce output.'

Q40

MCQ Apply Cost Calculation

A firm has a Total Fixed Cost (TFC) of Rs 20. If it produces 5 units of output, and its Total Variable Cost (TVC) is Rs 33, what is its Total Cost (TC)?

A Rs 13

B Rs 20

C Rs 33

D Rs 53

Hint: Remember the basic formula for total cost.

Answer

Total Cost (TC) is Rs 53 (TFC + TVC = 20 + 33 = 53).

Explanation

Using the formula TC = TVC + TFC (3.6), given TFC = Rs 20 and TVC = Rs 33, TC = 20 + 33 = Rs 53. This matches the value in Table 3.3 for q=5.

Q41

MCQ Apply Cost Calculation

If a firm's Total Cost (TC) is Rs 49 for 4 units of output and Rs 53 for 5 units of output, what is the Short Run Marginal Cost (SMC) of the 5th unit?

A Rs 4

B Rs 5

C Rs 10

D Rs 13

Hint: Marginal cost is the change in total cost when output increases by one unit.

Answer

The Short Run Marginal Cost (SMC) of the 5th unit is Rs 4 (53 - 49 = 4).

Explanation

Using the formula SMC = ΔTC / Δq (3.11): Change in TC = 53 - 49 = 4. Change in q = 5 - 4 = 1. So, SMC = 4 / 1 = Rs 4. This matches the value in Table 3.3 for q=5.

Q42

MCQ Apply Cost Calculation

A firm has a Total Fixed Cost (TFC) of Rs 20. If it produces 2 units of output with a Total Variable Cost (TVC) of Rs 18, what is its Average Fixed Cost (AFC) at this output level?

A Rs 20

B Rs 18

C Rs 10

D Rs 9

Hint: Average fixed cost spreads the fixed cost over the units produced.

Answer

The Average Fixed Cost (AFC) at 2 units of output is Rs 10 (TFC / q = 20 / 2 = 10).

Explanation

Using the formula AFC = TFC / q (3.9): TFC = Rs 20, q = 2 units. So, AFC = 20 / 2 = Rs 10. This matches the value in Table 3.3 for q=2.

Q43

MCQ Apply Cost Calculation

Using the data from the previous question (TFC=Rs 20, TVC=Rs 18 for q=2), what is the firm's Average Variable Cost (AVC) at 2 units of output?

A Rs 20

B Rs 18

C Rs 10

D Rs 9

Hint: Average variable cost is the total variable cost per unit of output.

Answer

The Average Variable Cost (AVC) at 2 units of output is Rs 9 (TVC / q = 18 / 2 = 9).

Explanation

Using the formula AVC = TVC / q (3.8): TVC = Rs 18, q = 2 units. So, AVC = 18 / 2 = Rs 9. This matches the value in Table 3.3 for q=2.

Q44

MCQ Apply Cost Calculation

If a firm has an Average Fixed Cost (AFC) of Rs 5 and an Average Variable Cost (AVC) of Rs 7.25 at 4 units of output, what is its Short Run Average Cost (SAC) at this level?

A Rs 12.25

B Rs 2.25

C Rs 5

D Rs 7.25

Hint: Remember how average fixed cost and average variable cost combine to form average total cost.

Answer

The Short Run Average Cost (SAC) is Rs 12.25 (AFC + AVC = 5 + 7.25 = 12.25).

Explanation

Using the formula SAC = AVC + AFC (3.10): SAC = 7.25 + 5 = Rs 12.25. This matches the value in Table 3.3 for q=4.

Q45

MCQ Understand Cost Curve Characteristics

For any level of output, the sum of marginal costs up to that level gives us what short-run cost component?

A Total Fixed Cost (TFC)

B Total Variable Cost (TVC)

C Total Cost (TC)

D Short Run Average Cost (SAC)

Hint: Marginal cost is the change in variable cost per unit of output.

Answer

The sum of marginal costs up to that level gives the Total Variable Cost (TVC) at that level.

Explanation

The text states, 'For any level of output, the sum of marginal costs up to that level gives us the total variable cost at that level. One may wish to check this from the example represented through Table 3.3.'

Q46

MCQ Understand Long Run vs. Short Run

Why are there no fixed costs in the long run?

A Because firms always operate at their minimum efficient scale in the long run.

B Because all factors of production can be varied in the long run.

C Because technology improves significantly over the long run.

D Because firms aim to maximize profit, not minimize cost, in the long run.

Hint: The core distinction between short and long run lies in the flexibility of inputs.

Answer

There are no fixed costs in the long run because, by definition, all factors of production can be varied in the long run.

Explanation

The document clearly states, 'In the long run, all inputs are variable. There are no fixed costs. The total cost and the total variable cost therefore, coincide in the long run.'

Q47

MCQ Analyze Productivity Curve Shapes

If the Marginal Product (MP) curve is above the Average Product (AP) curve, what is happening to the AP curve?

A It is falling.

B It is constant.

C It is rising.

D It has reached its minimum.

Hint: Think about how a higher marginal contribution affects the average.

Answer

If the MP curve is above the AP curve, the AP curve is rising.

Explanation

The text states, 'As long as the AP increases, it must be the case that MP is greater than AP. Otherwise, AP cannot rise.' This implies that if MP > AP, then AP must be rising.

Q48

MCQ Understand Returns to Scale and LRAC

When a firm experiences Decreasing Returns to Scale (DRS), what happens to its Long Run Average Cost (LRAC) as output increases?

A LRAC falls.

B LRAC remains constant.

C LRAC rises.

D LRAC becomes zero.

Hint: DRS means output increases less than proportionally to inputs. How does this affect cost per unit?

Answer

As long as DRS operates, the average cost must be rising as the firm increases output.

Explanation

The document explains, 'DRS implies that if we want to increase the output by a certain proportion, inputs need to be increased by more than that proportion. As a result, cost also increases by more than that proportion. So, as long as DRS operates, the average cost must be rising as the firm increases output.'

Q49

MCQ Analyze Cost Curve Interactions

The minimum point of the Short Run Average Cost (SAC) curve lies to the right of the minimum point of the Average Variable Cost (AVC) curve. What is the reason for this?

A Because marginal cost is always positive.

B Because Average Fixed Cost (AFC) continuously falls as output increases.

C Because Total Fixed Cost (TFC) is constant.

D Because the firm is trying to maximize profit.

Hint: Remember that SAC is the sum of AVC and AFC, and AFC is always decreasing.

Answer

The minimum point of SAC lies to the right of AVC's minimum because AFC continuously falls, initially offsetting the rise in AVC and causing SAC to continue falling for longer.

Explanation

The text states, 'Initially, both AVC and AFC decrease as output increases. Therefore, SAC initially falls. After a certain level of output production, AVC starts rising, but AFC continuous to fall. Initially the fall in AFC is greater than the rise in AVC and SAC is still falling. But, after a certain level of production, rise in AVC becomes larger than the fall in AFC. From this point onwards, SAC is rising. SAC curve is therefore ‘U’-shaped. It lies above the AVC curve with the vertical difference being equal to the value of AFC. The minimum point of SAC curve lies to the right of the minimum point of AVC curve.'

Q50

MCQ Understand Cost Curve Characteristics

The area under the Short Run Marginal Cost (SMC) curve up to any level of output represents which cost component?

A Total Fixed Cost (TFC)

B Total Variable Cost (TVC)

C Total Cost (TC)

D Short Run Average Cost (SAC)

Hint: Recall that SMC is the change in variable cost, not total cost including fixed costs.

Answer

The area under the SMC curve up to any level of output gives us the Total Variable Cost (TVC) up to that level.

Explanation

The document states, 'The TVC at a particular level of output is given by the area under the SMC curve up to that level.' and also 'In the short run, for any level of output, sum of marginal costs up to that level gives us the total variable cost. The area under the SMC curve up to any level of output gives us the total variable cost up to that level.'

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