5. Problems and Applications Q5 1. Initial Demand and Equilibrium Q = 120L-L² 120-2Z 2. New Output Price MPL The nation of Ectenia has 40 competitive apple orchards, which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard: where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor. Suppose the world price of apples doubles to $4 per apple. OL=60-0.25W OL=120-2W 3. Crop Destruction What is each orchard's labor demand as a function of the daily wage W? L=2,400-5W OL=60-0.125W What is the market's labor demand? STEP: 2 of 3 OL=2,400-10W OL=2,400-5W OL=120-10W OL=60-0.125W Ectenia has 200 workers who supply their labor inelastically. The equilibrium wage is $ per worker per day. Each orchard hires that wages are the firm's only costs.) workers and makes a profit of $ per day. (Note: Assume

5. Problems and Applications Q5 1. Initial Demand and Equilibrium Q = 120L-L² 120-2Z 2. New Output Price MPL The nation of Ectenia has 40 competitive apple orchards, which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard: where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor. Suppose the world price of apples doubles to $4 per apple. OL=60-0.25W OL=120-2W 3. Crop Destruction What is each orchard's labor demand as a function of the daily wage W? L=2,400-5W OL=60-0.125W What is the market's labor demand? STEP: 2 of 3 OL=2,400-10W OL=2,400-5W OL=120-10W OL=60-0.125W Ectenia has 200 workers who supply their labor inelastically. The equilibrium wage is $ per worker per day. Each orchard hires that wages are the firm's only costs.) workers and makes a profit of $ per day. (Note: Assume

Principles of Economics (MindTap Course List)

8th Edition

ISBN:9781305585126

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter18: The Markets For The Factor Of Production

Section: Chapter Questions

Problem 5PA

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The nation of Ectcnia has 2.0 competitive apple or--chards, all of which sell apples at the world price of$2 per apple. 11,c following equations describe theproduction function and the marginal product of laborin each orchard:Q =IOOL - L2Ml'L = 100 - U,where Q is the number of apples produced in a day,Lis the number of workers, and MPL is the marginalproduct of labcr.a. What is each orchard's labor demand as a functionof the daily wage W? What is the mar ket's labordemand?b. &:tenia has 200 workers who supply their labcrinelastically. Solve for the '""gc W. How manyworkers docs each orchard hire? How much profitdocs each orchard owner make?c. Calculate what happens to the inoome of workersand orchard owners if the world price do ubles lo$4 per a pple.d. Now suppose the price is back a l $2 per apple,but a hurricane d estroys hall the orchards. Calcu•late how the hurricane affects the income of eachworker and of each remaining orchard owner.Wl,at happens to the income of Ectcnia as…
The nation of Ectenia has 20 competitive appleorchards, all of which sell apples at the world priceof $2 per apple. The following equations describethe production function and the marginal product oflabor in each orchard:100100 2 ,2 5 25 2Q L LMPL Lwhere Q is the number of apples produced in a day,L is the number of workers, and MPL is the marginalproduct of labor.a. What is each orchard’s labor demand as a functionof the daily wage W? What is the market’s labordemand?b. Ectenia has 200 workers who supply their laborinelastically. Solve for the wage W. How manyworkers does each orchard hire? How much profitdoes each orchard owner make?c. Calculate what happens to the income of workersand orchard owners if the world price doubles to$4 per apple.d. Now suppose that the price is back at $2 perapple but a hurricane destroys half the orchards.Calculate how the hurricane affects the income ofeach worker and of each remaining orchard owner.What happens to the income of Ectenia as a whole?
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Economics Question
Paducah Slugger Company makes baseball bats out of lumber supplied to it by Acme Sporting Goods, which pays Paducah $10 for each finished bat. Paducah's only factors of production are lathe operators and a small building with a lathe. The number of bats per day it produces depends on the number of employee-hours per day, as shown in the table below. a. The wage is $15 per hour and Paducah's daily fixed cost for the lathe and bulding is $60 Instructions: Complete the table below. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Express marginal cost values rounded to the nearest penny (two decimal places). Number of Total Total labor Marginal Q (bats per employee-hours per day) revenue cost Total cost Profit cost day (8 per day) (S per day) (S per day) 60 ($ per day) 60 -25 per bat in 50 15 75 1e 30 90 10 150 200 250 300 350 30 35 25 15 4 60 120 20 105 165 25 1 165 225 30 16 240 300 35 22 390 40 OEE What is the profit-maximizing…
11:16 Fri 10O Dec * 9 80% ... managebac-prod-china.s3.cn-north-1.amazonaws.com.cn A 22 of 46 AP Microeconomics Page 21 of 46 AP CollegeBoard Test Booklet Unit 5 Problem Set - FRQ's Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows the short-run production function for Josh's Consulting Firm. Number of Consultants Total Product per Hour 1 21 2 43 3 66 4 88 108 6. 126 7 141 8. 151 (a) After which consultant do diminishing marginal returns begin for Josh's Consulting Firm? Explain using numbers. (b) Assume Josh's Consulting Firm sells its consulting services in a perfectly competitive market at a unit price of $2. Calculate the marginal revenue product of the fifth consultant. Show your work. (c) Josh's Consulting Firm hires…