Exam 5: Production Analysis
Exam 1: Introduction, Basic Principles, and Methodology43 Questions
Exam 2: Revenue of the Firm126 Questions
Exam 3: Topics in Demand Analysis and Estimation37 Questions
Exam 4: Economic Forecasting55 Questions
Exam 5: Production Analysis51 Questions
Exam 6: Cost of Production81 Questions
Exam 7: Profit Analysis of the Firm63 Questions
Exam 8: Perfect Competition and Monopoly67 Questions
Exam 9: Monopolistic Competition and Oligopoly75 Questions
Exam 10: Games, Information and Strategy58 Questions
Exam 11: Topics in Pricing and Profit Analysis70 Questions
Exam 12: Factor Markets59 Questions
Exam 13: Fundamentals of Project Evaluation72 Questions
Exam 14: Risk in Project Analysis57 Questions
Exam 15: Economics of Public Sector Decisions51 Questions
Exam 16: Legal and Regulatory Environment of the Firm36 Questions
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If equal increments of one variable input are added while keeping the amounts of all other inputs fixed, and decreasing additions to total product begin, then:
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(Multiple Choice)
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Correct Answer:
E
The We Make Them Like They Used To Manufacturing Company, Inc produces Victorian wood molding for the booming home restoration market. As they have only recently entered the market, WMTLTUMC, Inc produces only one product - bullet molding. A production function for this single product firm can be expressed as follows:
Q = 60L + 30K + .75LK
where:
Q = number of pallets containing 1000 board feet of molding produced per day
L = units of labor input used per day
K = units of capital input used per day
They are currently utilizing 100 units of capital per day, and 60 units of labor per day. As this process requires highly skilled labor, the price of labor is currently $18.00 per unit and the price of a unit of capital is $6.00. These prices are expected to remain constant into the foreseeable future. Is WMTLTUMC, Inc operating its woodworking facility at a least-cost combination of inputs? Why or why not?
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(Essay)
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Correct Answer:
For a least cost combination of inputs,
The expansion path of a firm refers to the path that connects least cost combinations of input for different levels of output, assuming constant input prices.
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(True/False)
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Correct Answer:
True
The given production function exhibits which of the following? 

(Multiple Choice)
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The following table gives the quantities of output that can be produced with different amounts of capital and labor utilized by a firm.
a. What are the returns to scale for this firm over the range of capital and labor shown on the table? Why?
b. Compute the marginal product and average product of capital for L = 2 as K varies from 1 unit to 5 units.
c. Compute the marginal product and average product of labor for K = 3 as L varies from 1 unit to 5 units.
d. Suppose the firm is producing 230 units of output using 3 units of capital and 2 units of labor. The cost of one unit of capital is $100 and the cost of one unit of labor is $5. Is the firm using a least cost combination of inputs? Why or why not?

(Essay)
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Van Farms Inc. is a small grower of watermelons. Van Farms estimates that watermelon output would increase by 1,200 per month with an additional 1,000 gallons of water per month provided by an irrigation system. Alternatively, watermelon output could be increased by 500 per month with an additional 2 tons of fertilizer per month. Assuming the cost of water is $.03 per gallon and that fertilizer is $25 per ton, is Van Farms using an optimal combination of fertilizer and water? Why or why not?
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The following table gives the quantities of output that can be produced with different amounts of capital and labor utilized by a firm.
a. What are the returns to scale for this firm over the range of capital and labor shown on the table? Why?
b. Compute the marginal product and average product of capital for L = 3 as K varies from 1 unit to 6 units.
c. Compute the marginal product and average product of labor for K = 4 as L varies from 1 unit to 6 units.
d. Suppose the firm is producing 300 units of output using 4 units of capital and 3 units of labor. The cost of one unit of capital is $15.00 and the cost of one unit of labor is $75.00. Is the firm using a least cost combination of inputs? Why or why not?


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If equal increments of one variable input are added while keeping the amounts of all other inputs fixed, and increasing additions to total product occur, then:
(Multiple Choice)
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With output held constant, for a combination of inputs to be a least cost combination, the slopes of an isocost line and the isoquant curve must be equal at the point the where the two curves touch.
(True/False)
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If, after reaching a certain level of production, one additional unit an input variable would produce a decline in total product, then:
(Multiple Choice)
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If the percentage increase in a firm's output is lower than the percentage increase in all of its inputs, then:
(Multiple Choice)
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If the percentage increase in a firm's output is higher than the percentage increase in all of its inputs, then:
(Multiple Choice)
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The Garbage Muncher Inc, a commercial garbage service, is considering the purchase of a newer combination truck and open top dumpster system which will allow them to collect 10 additional tons of garbage per day. The new system will require an additional capital investment of $96,000 per year based on a 240 workday year of 8 working hours per day. As an alternative Muncher could hire additional laborers at $7.50 per hour. These laborers, utilizing current equipment, can load one ton of garbage every four hours. Assume that demand for Muncher's services is great, and that they intend to expand to meet this demand. Also assume that with the utilization of either system, Muncher's price exceeds its average variable cost) If Muncher wishes to maximize profit, should they purchase a new system or hire more laborers? Why?
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The reason that we can say that the production function indicates the maximum quantities that can be produced with each combination of inputs is because we are assuming that all of the inputs are being used efficiently.
(True/False)
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The long run is a period of time long enough for all inputs, or factors of production, to be variable as far as the individual firm is concerned.
(True/False)
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The given production function exhibits which of the following? 

(Multiple Choice)
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The following table gives the quantities of output that can be produced with different amounts of capital and labor utilized by a firm.
a. What are the returns to scale for this firm over the range of capital and labor shown on the table? Why?
b. Compute the marginal product and average product of capital for L = 4 as K varies from 1 unit to 5 units.
c. Compute the marginal product and average product of labor for K = 1 as L varies from 1 unit to 5 units.
d. Suppose the firm is producing 376 units of output using 1 units of capital and 4 units of labor. The cost of one unit of capital is $39.50 and the cost of one unit of labor is $11.00. Is the firm using a least cost combination of inputs? Why or why not?

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The short run is a period so brief that the amount of at least one input, or factor of production, is fixed.
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