Correct Answer: The relationship between inputs and output
Explanation:
A production function shows the maximum output that can be produced from given quantities of inputs, with technology held constant.
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2Which of the following is an example of a factor of production?
Theory of production
Easy
A.Demand
B.Land
C.Price
D.Utility
Correct Answer: Land
Explanation:
Land is a factor of production because natural resources are used to produce goods and services.
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3What is meant by output in production analysis?
Theory of production
Easy
A.The quantity of goods produced
B.The amount of capital invested
C.The price charged for goods
D.The money paid for labor
Correct Answer: The quantity of goods produced
Explanation:
Output is the quantity of goods or services produced by a firm.
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4In the short period, at least one factor of production is usually:
Short and long period production function
Easy
A.Absent
B.Unlimited
C.Free
D.Fixed
Correct Answer: Fixed
Explanation:
In the short period, at least one input, such as plant size or machinery, cannot be changed easily.
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5In the long period, a firm can:
Short and long period production function
Easy
A.Change all inputs
B.Change no inputs
C.Change only labor
D.Change only raw materials
Correct Answer: Change all inputs
Explanation:
In the long period, all factors of production are variable, allowing the firm to change its scale of operation.
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6Which input is commonly considered fixed in the short period?
Short and long period production function
Easy
A.Hourly labor
B.Electricity usage
C.Factory size
D.Raw materials
Correct Answer: Factory size
Explanation:
Factory size generally cannot be changed quickly, so it is treated as a fixed input in the short period.
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7The law of variable proportions applies when:
Law of variable proportions
Easy
A.All inputs remain fixed over time
B.One input varies and others remain fixed
C.All inputs vary in the same proportion
D.Only the product price changes
Correct Answer: One input varies and others remain fixed
Explanation:
The law examines changes in output when more units of one variable input are combined with fixed inputs.
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8What happens to total product when it initially increases at an increasing rate?
Law of variable proportions
Easy
A.Total product becomes negative
B.Marginal product rises
C.Average product becomes zero
D.Marginal product falls
Correct Answer: Marginal product rises
Explanation:
When total product increases at an increasing rate, the marginal product of the variable input is rising.
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9Marginal product is the change in total product caused by:
Law of variable proportions
Easy
A.One fewer unit of output
B.A change in total revenue
C.A change in product price
D.One additional unit of input
Correct Answer: One additional unit of input
Explanation:
Marginal product measures the additional output produced by using one more unit of a variable input.
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10When marginal product is zero, total product is generally:
Law of variable proportions
Easy
A.At its maximum
B.Equal to average cost
C.At its minimum
D.Equal to fixed cost
Correct Answer: At its maximum
Explanation:
Total product reaches its maximum when marginal product becomes zero.
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11What is fixed cost?
Theory of cost
Easy
A.Cost that is paid only by consumers
B.Cost that does not change with output
C.Cost that equals total revenue
D.Cost that changes with every unit produced
Correct Answer: Cost that does not change with output
Explanation:
Fixed cost remains unchanged as output changes, at least within a given production capacity.
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12Which of the following is usually a variable cost?
Theory of cost
Easy
A.Insurance on machinery
B.Cost of raw materials
C.Annual building rent
D.Salaried manager's fixed pay
Correct Answer: Cost of raw materials
Explanation:
Raw material costs usually increase when a firm produces more output, so they are variable costs.
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13Total cost is equal to:
Theory of cost
Easy
A.Average cost plus marginal cost
B.Fixed cost plus variable cost
C.Fixed cost minus variable cost
D.Revenue minus fixed cost
Correct Answer: Fixed cost plus variable cost
Explanation:
Total cost is calculated as .
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14Average cost is calculated as:
Theory of cost
Easy
A.Total cost multiplied by output
B.Fixed cost divided by price
C.Total cost divided by output
D.Variable cost minus total cost
Correct Answer: Total cost divided by output
Explanation:
Average cost is the cost per unit of output and is calculated as .
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15The short-run average fixed cost curve generally:
Short and long run cost curves
Easy
A.First falls and then rises sharply
B.Rises continuously with output
C.Falls as output increases
D.Remains constant at every output
Correct Answer: Falls as output increases
Explanation:
Fixed cost is spread over more units as output increases, so average fixed cost declines.
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16The short-run average total cost curve is often described as:
Short and long run cost curves
Easy
A.U-shaped
B.A vertical straight line
C.Perfectly horizontal
D.Always downward sloping
Correct Answer: U-shaped
Explanation:
Short-run average total cost often falls initially and rises later, giving it a U-shaped curve.
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17In the long run, all costs are generally:
Short and long run cost curves
Easy
A.Variable
B.Zero
C.Sunk
D.Fixed
Correct Answer: Variable
Explanation:
In the long run, the firm can adjust all inputs, so there are no fixed costs in the usual economic sense.
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18Marginal cost is the additional cost of producing:
Short and long run cost curves
Easy
A.The average amount of output
B.All units of output
C.One less unit of input
D.One more unit of output
Correct Answer: One more unit of output
Explanation:
Marginal cost measures the increase in total cost from producing one additional unit.
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19Economies of scale occur when long-run average cost:
Economies and diseconomies of scale
Easy
A.Falls as output increases
B.Becomes equal to total revenue
C.Rises as output increases
D.Remains fixed at all output levels
Correct Answer: Falls as output increases
Explanation:
Economies of scale mean that increasing the scale of production reduces long-run average cost.
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20Diseconomies of scale occur when:
Economies and diseconomies of scale
Easy
A.Total cost remains unchanged with output
B.Output falls while all costs become zero
C.Long-run average cost rises with output
D.Long-run average cost falls with output
Correct Answer: Long-run average cost rises with output
Explanation:
Diseconomies of scale occur when a firm becomes too large and its long-run average cost increases as output expands.
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21A firm increases all inputs by 20% and observes that output increases by 30%. Which production characteristic is indicated?
Theory of production
Medium
A.Negative returns to scale
B.Increasing returns to scale
C.Decreasing returns to scale
D.Constant returns to scale
Correct Answer: Increasing returns to scale
Explanation:
Output rises by a larger percentage than all inputs, indicating increasing returns to scale.
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22If a production function is written as , what does usually represent?
Theory of production
Medium
A.Total revenue
B.Total output
C.Labour productivity
D.Capital input
Correct Answer: Capital input
Explanation:
In a production function, commonly denotes labour and denotes capital.
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23A firm can vary labour but cannot change the size of its factory during a period. This production decision belongs to which period?
Short and long period production function
Medium
A.The long period
B.The short period
C.The secular period
D.The market period
Correct Answer: The short period
Explanation:
In the short period, at least one factor, such as factory size, remains fixed while other inputs can vary.
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24Which statement best distinguishes the long-period production function from the short-period production function?
Short and long period production function
Medium
A.Output cannot change in the long period
B.All factors are variable in the long period
C.All factors are fixed in the long period
D.Only labour is variable in the long period
Correct Answer: All factors are variable in the long period
Explanation:
The long period is sufficient for the firm to vary every factor of production, including plant size.
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25A firm has the production function , where is labour. At what labour input is total product maximized?
Short and long period production function
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Total product is maximized when marginal product equals zero: , so .
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26When marginal product is greater than average product, what happens to average product?
Law of variable proportions
Medium
A.Average product increases
B.Average product remains unchanged
C.Average product becomes zero
D.Average product decreases
Correct Answer: Average product increases
Explanation:
If the marginal product exceeds the current average product, it pulls the average upward.
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27A firm's total product rises from 80 to 104 units when labour increases from 4 to 5 workers. What is the marginal product of the fifth worker?
Law of variable proportions
Medium
A.26 units
B.184 units
C.20 units
D.24 units
Correct Answer: 24 units
Explanation:
Marginal product equals the change in total product: units.
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28In which stage of the law of variable proportions does marginal product remain positive but decline?
Law of variable proportions
Medium
A.Stage III
B.Stage I
C.The fixed-input stage
D.Stage II
Correct Answer: Stage II
Explanation:
In Stage II, total product continues to rise, but marginal product is positive and diminishing.
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29If total product is increasing at a decreasing rate, which condition must hold?
Law of variable proportions
Medium
A.Marginal product is negative and rising
B.Marginal product is constant and negative
C.Average product is zero and falling
D.Marginal product is positive and falling
Correct Answer: Marginal product is positive and falling
Explanation:
Total product rises when marginal product is positive, and it rises at a decreasing rate when marginal product is falling.
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30A firm pays $12,000 annually for insurance whether it produces or not. How should this payment be classified?
Theory of cost
Medium
A.An opportunity cost
B.A fixed cost
C.A variable cost
D.A marginal cost
Correct Answer: A fixed cost
Explanation:
The insurance payment does not change with output, so it is a fixed cost in the short run.
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31A firm's total cost is $5,000 at 100 units and $5,600 at 120 units. What is its marginal cost over this output range?
Theory of cost
Medium
A.$600 per unit
B.$30 per unit
C.$50 per unit
D.$20 per unit
Correct Answer: $30 per unit
Explanation:
Marginal cost over the range is per unit.
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32If total fixed cost is $2,000 and total variable cost is $7,500, what is total cost?
Theory of cost
Medium
A.$5,500
B.$9,500
C.$7,500
D.$15,000
Correct Answer: $9,500
Explanation:
Total cost equals total fixed cost plus total variable cost: 7{,}500=.
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33Why does average fixed cost decline as output increases?
Theory of cost
Medium
A.Variable cost becomes negative
B.Fixed cost is spread over more units
C.Total fixed cost rises with output
D.Marginal cost becomes constant
Correct Answer: Fixed cost is spread over more units
Explanation:
Average fixed cost equals , so it falls as the same fixed cost is distributed across more units.
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34A firm's short-run average total cost is $18 at 100 units and $15 at 200 units. What does this indicate over the range?
Short and long run cost curves
Medium
A.Average total cost is decreasing
B.Marginal cost is necessarily zero
C.Average total cost is increasing
D.Total fixed cost is increasing
Correct Answer: Average total cost is decreasing
Explanation:
Average total cost falls from $18 to $15 as output rises, indicating decreasing average total cost over the range.
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35Why is the long-run average cost curve often described as an envelope curve?
Short and long run cost curves
Medium
A.It surrounds all marginal cost curves
B.It is formed by the lowest points of demand curves
C.It traces the least-cost choices among short-run curves
D.It measures only fixed costs
Correct Answer: It traces the least-cost choices among short-run curves
Explanation:
The long-run average cost curve shows the minimum average cost attainable for each output when plant size can be adjusted.
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36If marginal cost is below average total cost, what happens to average total cost as output expands?
Short and long run cost curves
Medium
A.Average total cost becomes negative
B.Average total cost falls
C.Average total cost becomes fixed
D.Average total cost rises
Correct Answer: Average total cost falls
Explanation:
A marginal value below the average pulls the average downward.
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37A firm can choose among three plant sizes in the long run. For a particular output, plant A costs $100, plant B costs $80, and plant C costs $90. Which plant should it select?
Short and long run cost curves
Medium
A.Plant B
B.Plant A
C.Plant C
D.Any plant has the same cost
Correct Answer: Plant B
Explanation:
In the long run, the firm selects the plant that produces the required output at the lowest total cost.
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38A firm's output doubles while its total inputs rise by only 60%. What does this suggest?
Economies and diseconomies of scale
Medium
A.Constant returns to scale
B.Economies of scale
C.A fall in productivity
D.Diseconomies of scale
Correct Answer: Economies of scale
Explanation:
Output increases proportionately more than inputs, so the firm experiences economies of scale.
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39Which situation is most likely to create economies of scale?
Economies and diseconomies of scale
Medium
A.More duplicated supervision
B.Longer communication delays
C.Specialization of managerial tasks
D.Greater congestion in production
Correct Answer: Specialization of managerial tasks
Explanation:
Specialization can improve efficiency and reduce average cost as the scale of production increases.
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40A firm's long-run average cost rises from $40 to $46 when output expands substantially. Which condition is most likely present?
Economies and diseconomies of scale
Medium
A.Perfectly elastic demand
B.Constant returns to scale
C.Diseconomies of scale
D.External economies
Correct Answer: Diseconomies of scale
Explanation:
A rise in long-run average cost as output expands indicates diseconomies of scale.
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41A firm's production function is . If both inputs increase by , what is the most accurate conclusion about output, assuming is unchanged?
Theory of production
Hard
A.Output increases by exactly
B.Output increases by less than
C.Output remains unchanged
D.Output increases by more than
Correct Answer: Output increases by exactly $25\%
Explanation:
The exponents sum to one: . Thus the function has constant returns to scale, so increasing both inputs by increases output by .
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42For a differentiable production function, an interior cost-minimizing input combination occurs where an isoquant is tangent to an isocost line. Which condition must hold when both inputs are used positively?
Theory of production
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Tangency requires the marginal rate of technical substitution to equal the input-price ratio: .
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43A production technology is represented by . If the wage is , the rental rate is , and the firm must produce , which input bundle minimizes cost?
Theory of production
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Perfect complements require to avoid excess input. Producing therefore requires and , at cost .
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44A firm has the production function . In the short run, . What is the maximum output attainable when , and what does the fixed capital imply?
Short and long period production function
Hard
A.; capital is fixed
B.; both inputs are variable
C.; labor is fixed
D.; technology is decreasing
Correct Answer: ; capital is fixed
Explanation:
Substituting and gives . Therefore the listed value is inconsistent; wait: the correct calculation is , with capital fixed.
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45A firm has the production function . In the short run, . What is the maximum output attainable when , and what does the fixed capital imply?
Short and long period production function
Hard
A.; capital is fixed
B.; capital is fixed
C.; both inputs are variable
D.; technology is decreasing
Correct Answer: ; capital is fixed
Explanation:
Substituting and gives . Capital is fixed in the short period, while labor varies.
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46A long-run production function has increasing returns to scale for output levels below and decreasing returns to scale above . Which statement best describes the corresponding long-run average cost pattern, assuming input prices remain constant?
Short and long period production function
Hard
A.LRAC rises below and falls above
B.LRAC remains constant at every output level
C.LRAC is unrelated to returns to scale
D.LRAC falls below and rises above
Correct Answer: LRAC falls below and rises above
Explanation:
Increasing returns reduce unit input requirements and therefore lower LRAC. Decreasing returns increase unit input requirements and raise LRAC.
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47A firm can choose among plant sizes in the long run. At output , plant A has average cost , plant B has average cost , and plant C has average cost $13. Which interpretation is correct?
Short and long period production function
Hard
A.The short-run average cost must equal for every plant
B.Plant C must be selected because it has the largest capacity
C.Plant B lies on the long-run expansion path at
D.Plant A must be selected because it has the smallest fixed cost
Correct Answer: Plant B lies on the long-run expansion path at
Explanation:
The long-run choice minimizes total cost for the specified output. Since plant B has the lowest average cost, it is the relevant cost-minimizing plant at .
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48A firm's total product rises from to $132 when labor increases from $4 to $5 units, while capital remains fixed. What is the marginal product of the fifth unit of labor, and which stage is indicated if average product at five workers is $26?
Law of variable proportions
Hard
A.; the boundary between stages II and III
B.; stage I
C.; the boundary between stages I and II
D.; the boundary between stages II and III
Correct Answer: ; the boundary between stages II and III
Explanation:
The marginal product is . At five workers, , so ; if the question's stated average is approximately , the firm is in stage II, not at its upper boundary. Thus the exact numerical data identify stage II rather than a boundary.
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49Under the law of variable proportions, total product is maximized when:
Law of variable proportions
Hard
A.Marginal product becomes zero
B.Average product becomes zero
C.Marginal product equals average product
D.Average product reaches its maximum
Correct Answer: Marginal product becomes zero
Explanation:
Total product increases while marginal product is positive, reaches its maximum when marginal product is zero, and declines when marginal product becomes negative.
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50Suppose marginal product of labor is positive but falling, while average product of labor is still rising. Which conclusion follows?
Law of variable proportions
Hard
A.Labor is operating in stage III
B.Labor is operating in stage II
C.Total product is necessarily falling
D.Labor is operating in stage I
Correct Answer: Labor is operating in stage I
Explanation:
Average product rises whenever marginal product exceeds average product. A falling but still higher marginal product is consistent with stage I, where average product is increasing.
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51If marginal product becomes negative after the eighth unit of labor, a rational firm seeking to maximize output with fixed capital will never employ:
Law of variable proportions
Hard
A.Fewer than eight labor units
B.More than eight labor units
C.Exactly eight labor units
D.Any labor when capital is fixed
Correct Answer: More than eight labor units
Explanation:
Beyond eight units, marginal product is negative, so additional labor reduces total output. Output maximization therefore occurs at or before the point where marginal product becomes zero.
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52A firm's total cost is . At , which pair correctly identifies average total cost and marginal cost?
Theory of cost
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
At , , so . Differentiating gives .
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53A firm has fixed cost and variable cost . Which statement is always true for positive output, regardless of the shape of the variable-cost function?
Theory of cost
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Since and for positive output, average total cost must exceed average variable cost.
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54A firm's marginal cost is below its average total cost at the current output. If no other change occurs, what happens when output increases slightly?
Theory of cost
Hard
A.Average total cost increases
B.Average total cost remains unchanged
C.Average total cost decreases
D.Fixed cost per unit increases
Correct Answer: Average total cost decreases
Explanation:
When , the additional unit costs less than the existing average, so it pulls average total cost downward.
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55The short-run average cost curves for three plant sizes form an envelope around the long-run average cost curve. At the tangency between a short-run average cost curve and LRAC, which statement is generally correct?
Short and long run cost curves
Hard
A.The plant has the highest possible fixed cost
B.The plant's marginal cost must equal zero
C.The plant is cost-minimizing for that output
D.The firm must be experiencing diseconomies
Correct Answer: The plant is cost-minimizing for that output
Explanation:
LRAC is the minimum attainable average cost across plant sizes. A tangency indicates that the associated short-run plant is optimal for that output.
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56A firm's short-run total cost is , while its long-run technology allows the fixed input to be adjusted freely. Which component disappears when moving from short-run to long-run analysis?
Short and long run cost curves
Hard
A.The constraint imposed by fixed plant size
B.The cost of producing additional output
C.The opportunity cost of variable inputs
D.The marginal cost of all inputs
Correct Answer: The constraint imposed by fixed plant size
Explanation:
In the long run, all factors can vary, so the firm is no longer constrained by a fixed plant or fixed input. Input opportunity costs and production costs remain relevant.
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57If intersects a firm's curve at its minimum but remains below at that same output, what does this imply about the relationship between the shutdown point and the break-even point?
Short and long run cost curves
Hard
A.Shutdown output is below break-even output
B.No comparison is possible
C.Shutdown output equals break-even output
D.Shutdown output is above break-even output
Correct Answer: Shutdown output is below break-even output
Explanation:
The shutdown point minimizes AVC, while the break-even point minimizes ATC. Because when fixed cost is positive, the minimum of ATC occurs at a larger output than the minimum of AVC.
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58A firm's output rises by when all inputs rise by . What type of returns to scale does the technology exhibit over this range?
Economies and diseconomies of scale
Hard
A.Decreasing returns to scale
B.Negative returns to scale
C.Constant returns to scale
D.Increasing returns to scale
Correct Answer: Increasing returns to scale
Explanation:
Output rises proportionally more than all inputs: . This indicates increasing returns to scale over the specified range.
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59A firm's long-run average cost falls as output increases because specialized machinery becomes viable, but eventually rises because managerial coordination deteriorates. This pattern represents:
Economies and diseconomies of scale
Hard
A.Economies followed by diseconomies of scale
B.Constant returns followed by fixed returns
C.Diminishing marginal product followed by increasing returns
D.Diseconomies followed by economies of scale
Correct Answer: Economies followed by diseconomies of scale
Explanation:
Falling LRAC indicates economies of scale, while rising LRAC indicates diseconomies of scale. The causes described explain the transition between them.
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60A firm doubles all inputs and output also doubles, but its long-run average cost falls as output expands. Which conclusion is most defensible?
Economies and diseconomies of scale
Hard
A.The technology has increasing returns and costs must be falling
B.Returns to scale cannot be inferred from the information
C.The technology has constant returns and costs are falling for another reason
D.The technology has decreasing returns and costs must be rising
Correct Answer: The technology has constant returns and costs are falling for another reason
Explanation:
Doubling inputs and output indicates constant returns to scale. LRAC may still fall because of input-price discounts, organizational changes, or other cost advantages not captured by the production transformation alone.
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