Pearson eText Microeconomics -- Access Card
2nd Edition
ISBN: 9780136849513
Author: Acemoglu, Daron, Laibson, David, List, John
Publisher: PEARSON
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Question
Chapter 11, Problem 1P
(a)
To determine
The marginal product of each additional worker hired.
(b)
To determine
The consistency of the relationship between the output and marginal product with the ‘Law of diminishing returns’.
(c)
To determine
The total laborers hired by a competitive firm when the price is
(d)
To determine
The optimal number of workers if the price falls to
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7. The production function for a price-taking firm is given by q = 2.5k0.4L0.4. What are the demand functions for labor 1(v,w.p) and capital k(v,w,p)?
[Show your work]
8. The production function for a price-taking firm is given by q = 2.5k0.4L0.4. What is the supply function q(v,w,p)?
[Show your work]
Suppose that the production function of the firm is:
Q = 100L1/2.K1/2
K= 100, P = $1, w =$50. and r = $40. Determine the quantity of labor that the firm should hire in order to maximize the profits. What is the maximum profit of this firm?
Suppose that the production function of the firm is:Q = 100L1/2 . K1/2K= 100, P = $1, w = $50 and r = $40. Determine the quantity of labor that the firm should hire in order to maximize the profits. What is the maximum profit of this firm?
Chapter 11 Solutions
Pearson eText Microeconomics -- Access Card
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- Suppose that Zamboni Enterprises is the only company that sells zambonis (ice resurfacing machines). To produce the machines, the company hires assembly workers. Since these workers can work in many different companies, Zamboni Enterprises must pay them the market wage, which is equal to $6. The number of zambonis that the company produces, which is denoted by y, is proportional to the number of assembly workers that it hires, which are denoted by N; in particular, the production function is given by y=0.76N. The economywide demand for zambonis is given by the following demand function: y=2191-219p, where y is the number of zambonis that consumers are willing to purchase at price p. Given this market structure, how many assembly workers will Zamboni Enterprises choose to hire? How many zambonis will Zamboni Enterprises produce and sell? What will be the price of a zamboni? If the market for zambonis were competitive, how many zambonis would be produced? If the market for…arrow_forwardSuppose that Zamboni Enterprises is the only company that sells zambonis (ice resurfacing machines). To produce the machines, the company hires assembly workers. Since these workers can work in many different companies, Zamboni Enterprises must pay them the market wage, which is equal to $6. The number of zambonis that the company produces, which is denoted by y, is proportional to the number of assembly workers that it hires, which are denoted by N; in particular, the production function is given by y=0.76N. The economywide demand for zambonis is given by the following demand function: y=2191-219p, where y is the number of zambonis that consumers are willing to purchase at price p. If the market for zambonis were competitive, how many zambonis would be produced? If the market for zambonis were competitive, how many assembly workers would be hired? If the market for zambonis were competitive, at what price would zambonis be sold?arrow_forwardSuppose a competitive firm can sell its output for $7 per unit. The following table gives the firm’s short run production function. Labor Output 0 0 1 15 2 40 3 70 4 86 5 94 6 98 In the table below, you will determine several points on the firm’s demand curve for labor. To do this, you must determine how many workers the firm should hire for different values of the wage rate in order to maximize profit. Complete the table below: Wage Rate Per Worker Quantity Demanded of Workers $30 $50 $70 $100 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forward
- Suppose a competitive firm can sell its output for $7 per unit. The following table gives the firm’s short run production function. Labor Output 0 0 1 15 2 40 3 70 4 86 5 94 6 98 In the table below, you will determine several points on the firm’s demand curve for labor. To do this, you must determine how many workers the firm should hire for different values of the wage rate in order to maximize profit. Complete the table below: Wage Rate Per Worker Quantity Demanded of Workers $30 $50 $70 $100 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure. do not upload imagesarrow_forwarda) Graph the TP, MP and AP data below. Clearly identify the 3 stages of production by drawing dotted lines vertically at the appropriate labor levels (increasing returns, decreasing returns, negative returns). productarrow_forwardSuppose a beverage company is profit-maximising. It has one factor of production, which is the amount of labour (l) it hires. For each hour of labour, the firm pays a wage 'w'. The production function is given by f(l) = l^1/2.(Assume that the price is equal to 1).a. Suppose that in equilibrium, the wage rate is fixed at w = 7. Solve for the firm’s optimal choice of how much labour to hire.b. Imagine the government votes to increase the minimum wage to w= 10. What happens to employment in the firm?c. Suppose the firm instead chooses to minimise the cost of producing a specific amount of q. Explain how this helps the firm maximise profits.arrow_forward
- Suppose the firm is hiring labor and capital and that the ratio of marginal products of the two inputs equals the ratio of input prices. Does this imply that the firm is maximizing profits? Why or why not?arrow_forwardA. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L2. Its wage rate is w=40. Suppose the firm sells in a perfectly competitive market and is a price taker in the input market, how much labor will it hire to maximize profits?arrow_forwardIn this question you will derive a simple labour demand curve. Suppose that the number of calculators a firm can produce per hour (TP) given a certain number of workers (L), is given by: TP = 396 ln(L +17) + 13L The cost of using each worker is just their hourly wage (w). So the total labour cost is C = wL. If the price of each calculator is $11, find the profit maximizing wage as a function of number of workers used (L). W=arrow_forward
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