PRINCIPLES OF ECONOMICS
PRINCIPLES OF ECONOMICS
14th Edition
ISBN: 2810015433483
Author: OpenStax
Publisher: OpenStax
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Chapter 7, Problem 42P

A small company that shovels sidewalks and driveways has 100 homes signed up for its services this winter. It can use various combinations of capital and labor: intensive labor with hand shovels, less labor with snow blowers, and still less labor with a pickup truck that has a snowplow on front. To summarize, the method Choices are:

Method 1: 50 units of labor, 10 units of capital

Method 2: 20 units of labor, 40 units of capital

Method 3: 10 units of labor, 70 units of capital

If hiring labor for the winter costs $100/unit and a unit of capital costs $ 4 00 , what is the best production method? What method should the company use if the cost of labor rises to $20/unit?

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Exercise 6 Imagine that you head production of a multinational food processing company. The ongoing uncer- tainty about costs means that you are unsure of the future cost of one of your inputs, x2. Your firm's production function is y = f(x1, x2) = x²x²² The output price p is 1000, x1 = 27, and wx₁ = 60. 1. Suppose the current input price is Wx2 = 50. Solve for the optimal choice of x2. 2. Now suppose that the probability the input price remains 50 is 0.65 and the probability that Wx2 60 is 0.35. Solve for the optimal choice of x2. Round down to the nearest integer. = 3. Finally, suppose the costs do actually rise, i.e., Wx2 = 60. Calculate the difference in profit from the uncertainty in (2) vs. the certainty in (1).
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Chapter 7 Solutions

PRINCIPLES OF ECONOMICS

Ch. 7 - What is die difference between accounting and...Ch. 7 - What is a production function?Ch. 7 - What is the difference between a fixed input and a...Ch. 7 - How do we calculate marginal product?Ch. 7 - What shapes would you generally expect a total...Ch. 7 - What are the factor payments for land, labor, and...Ch. 7 - What is the difference between fixed costs and...Ch. 7 - How do we calculate each of the following:...Ch. 7 - What shapes would you generally expect each of the...Ch. 7 - Are there fixed costs in the lung-run? Explain...Ch. 7 - Are fixed costs also sunk costs? Explain.Ch. 7 - What are diminishing marginal returns as they...Ch. 7 - Which costs are measured on per-unit basis: fixed...Ch. 7 - What is a production technology?Ch. 7 - In choosing a production technology, how will...Ch. 7 - What is a long-run average cost curve?Ch. 7 - What is the difference between economies of scale,...Ch. 7 - What shape of a long-run average cost curve...Ch. 7 - Why will firms in most markets be located at or...Ch. 7 - Small Mom and Pop firms, like inner city grocery...Ch. 7 - A common name for fixed cost is overhead. If you...Ch. 7 - How does fixed cost affect marginal cost? Why is...Ch. 7 - Average cost curves (except for avenge fixed cost)...Ch. 7 - What is the relationship between marginal product...Ch. 7 - It is clear that businesses operate in the short...Ch. 7 - Retune to Table 7.2. In the top half of the table,...Ch. 7 - How would an improvement in technology, like the...Ch. 7 - Do you think that the taxicab industry in large...Ch. 7 - A firm is considering an investment that will earn...Ch. 7 - Return to Figure 7.7. What is the marginal gain in...Ch. 7 - Compute the average total cost, average variable...Ch. 7 - A small company that shovels sidewalks and...
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