EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Chapter 6.5, Problem 2MQ
To determine
To describe: The substitutability of the given production function.
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Let the production of Y use two factors K and L. The production function is given by: Y =√4?√9?. If the prices for capital and labor are the same, then show that the firm will use the same quantities of K and L.
Problem # 2
Crew Brew produces a popular brand of beer in its mini-brewery located on a small river in Wisconsin. It uses a special formula, combined with the fresh water from the local stream, to produce a drink popular with local folks and tourists who visit during the summer fishing season, and autumn deer hunting season. The production function of Crew follows the formula:
Q=50(K+L)Where Q = Barrels of beer,
K = units of capital, and L = units of labor.
a) Suppose that capital can be purchased for $8 per unit, and labor costs $6 per unit. What is the optimal combination of inputs for the firm to employ?
b) Suppose that the cost of inputs changes to $7 for a unit of capital, and $9 for a unit of labor. What is the new optimal combination of inputs?
In your "toast" production function, you used your labor and a toaster as capital. Keeping capital constant, i.e., with only one toaster if you keep adding the labor, i.e., bring your friends to help you with making toasts, which of the following might happen?
Group of answer choices
Marginal returns to labor will be a constant.
Marginal returns to labor will keep decreasing and, after a point, it will become negative.
Marginal returns to labor will keep increasing.
Marginal returns to labor will keep increasing and then be a constant.
Chapter 6 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
Ch. 6.2 - Prob. 1TTACh. 6.2 - Prob. 2TTACh. 6.2 - Prob. 1MQCh. 6.2 - Prob. 2MQCh. 6.3 - Prob. 1TTACh. 6.3 - Prob. 2TTACh. 6.3 - Prob. 1MQCh. 6.3 - Prob. 2MQCh. 6.4 - Prob. 1TTACh. 6.4 - Prob. 2TTA
Ch. 6.5 - Prob. 1MQCh. 6.5 - Prob. 2MQCh. 6.5 - Prob. 3MQCh. 6.6 - Prob. 1TTACh. 6.6 - Prob. 2TTACh. 6.7 - Prob. 1MQCh. 6.7 - Prob. 2MQCh. 6.7 - Prob. 3MQCh. 6.7 - Prob. 4MQCh. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Prob. 4RQCh. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Prob. 10RQCh. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10P
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- The boundary between the combinations of goods and services that can be produced and the combinations that cannot be produced, given the available factors of production and the state of technology is called ________.arrow_forwardanswer question d Q5. Jason is running a cleaning business, there are available labours (L) and machines (M) for Jason to use as inputs to produce cleaning service for his clients. a) Suppose Jason must use both labours and machines without any specific ratio to complete the service for his clients, please write down the general production function formula for Jason. hint: you could use any letter if you want] b) Under the function form of a), assume Jason's Marginal Rate of Technical Substitution (MRTSL, M) equals to 2, how do you interpret it? c) Assume Jason now can use only single input, either labour or machine to complete the service, please write down the general production function formula for Jason. hint: you could use any letter if you want] d) Under the function form of c), assume Jason's Marginal Rate of Technical Substitution (MRTSL, M) is always larger than the market price ratio between labour and machine (w/r), what should Jason do? why?arrow_forwardThe following graph shows a variety of possible production functions (PFs) in an imaginary economy, assuming constant levels of human capital and capital stock. Because human capital and capital stock remain unchanged, each of these production functions represents a different level of the technology. The slope of the line connecting the origin to point A is _______ (options: steeper, flatter) than the slope of the line connecting the origin to point B, because the slope of such a line is equivalent to __________ (options: the marginal physcial product of labor, marginal cost, productivity).arrow_forward
- Which of the following statements best describes a production function? Group of answer choices all levels of inputs that could produce a given level of output the maximum profit generated from given levels of inputs the maximum level of output generated from given levels of inputs all levels of output that can be generated from given levels of inputsarrow_forwardWhich of the following statements are true? A basic assumption of the theory of production is that: A firm cannot borrow money to finance its input expenditures. A firm can buy as much labor and capital as it desires in the long-run A firm can reduce the number of workers it uses, but it cannot adjust how much capital it uses in the short-run When the marginal product of labour starts falling, the firm must cease production a. II only b. II and III c. I, III and IV d. II, III and IVarrow_forwardWhy does more inputs not necessarily translate into more output?arrow_forward
- How to distribute the income between labor and capital in such a way that the production is done maximum with this budget constraintarrow_forwardAb 11 Economics A production function is given by the equation Q = 48L^0.5*K^0.5. Where L is the number of labor units and K is the capital units. Find the marginal product of labor (QL) and the marginal product of capital (Qk) at L=9 and K=16.arrow_forwardWhat is the difference between the labor intensive production and capital intensive production approach.arrow_forward
- Illustrate and explain two special cases of production functions: (1) Inputs to production that are perfectly substitutable, and (2) fixed proportions production function.arrow_forwardThere are two firms in the economy. Each firm employs positive amounts of capital and labour. The technology satisfies diminishing marginal rate of technical substitution of labour for capital. Currently, A’s marginal rate of technical substitution of labour for capital is 4 while B’s marginal rate of technical substitution of labour for capital is 2. A. Is the current production of the two firms efficient? If not, describe an exchange of inputs that would improve efficiency. B. Can these production levels of the two firms be observed in a perfectly competitive equilibrium of a production and exchange economy? Explain.arrow_forwardQ5. Jason is running a cleaning business, there are available labours (L) and machines (M) for Jason to use as inputs to produce cleaning service for his clients. a) Suppose Jason must use both labours and machines without any specific ratio to complete the service for his clients, please write down the general production function formula for Jason. hint: you could use any letter if you want] b) Under the function form of a), assume Jason's Marginal Rate of Technical Substitution (MRTSL, M) equals to 2, how do you interpret it? c) Assume Jason now can use only single input, either labour or machine to complete the service, please write down the general production function formula for Jason. hint: you could use any letter if you want] d) Under the function form of c), assume Jason's Marginal Rate of Technical Substitution (MRTSL, M) is always larger than the market price ratio between labour and machine (w/r), what should Jason do? why?arrow_forward
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