EBK MICROECONOMICS
5th Edition
ISBN: 9781118883228
Author: David
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Question
Chapter 1, Problem 1.4P
To determine
(a)
The objective function for the given problem.
To determine
(b)
The constraints for the given problem.
To determine
(c)
The exogenous variables and endogenous variables out of the given variables.
To determine
(d)
The statement for the constrained optimization problem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Patty’s Pizza has the production function per hour shown in the table below. The hourly wage rate for each worker is $10. Each pizza sells for $2.
Quantity of workers - 0, 1, 2, 3, 4, 5.
Quantity of pizza - 0, 9, 15, 19, 22, 24.
Now, let’s assume that Patty buys a new high-tech pizza oven that allows her workers to become twice as productive as before. That is, the first worker now produces 18 pizzas per hour instead of 9, and so on.
e) Calculate the new MPL and the new VMPL at the original price of $2 per pizza using the new information above. f) Using answer (e) determine how Patty’s hiring decision responds to this increase in the productivity of her workforce when the wage rate is $10, i.e., will she hire more workers or less workers than before or not change the number of workers? (use a diagram)
Explain how a firm’s production function is related toits marginal product of labor, how a firm’s marginalproduct of labor is related to the value of its marginalproduct, and how a firm’s value of marginal productis related to its demand for labor
Consider a firm for which production depends on two normal inputs, labor and capital, with prices w and r, respectively. Initially the firm faces market prices of w = 6 and r = 4. These prices then shift to w = 4 and r = 2.a. In which direction will the substitution effect change the firm’s employment and capital s tock?b. In which direction will the scale effect change the firm’s employment and capital stock?c. Can we say conclusively whether the firm will use more or less labor? More or less c apital?
Chapter 1 Solutions
EBK MICROECONOMICS
Ch. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3P
Ch. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10PCh. 1 - Prob. 1.11PCh. 1 - Prob. 1.12PCh. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21P
Knowledge Booster
Similar questions
- What is the difference between a fixed input and a variable input?arrow_forwardIf two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?arrow_forwardGive the three reasons that explain why the division of labor increases an economys level of production.arrow_forward
- What shapes would you generally expect a total product curve and a marginal product curve to have?arrow_forwardSuppose a firm finds itself in a situation where the marginal product of the last employee hired is 4 units per hour, and the marginal product of the last machinepurchased is 10 units per hour. If the wage is $20/hour and the hourly rental rate of a machine is $50, what should this firm do if it wants to be as productive aspossible?a. Lay off workers and use more machines.b. Hire workers and use less machines.c. Lay off workers and use less machines,d. Hire workers and use more machines.e. Nothing. This firm is already operating efficiently.arrow_forwardUSE R LANGUAGE TO SOLVE THE equation The output of a production process, Q is given by the function2K^(-3)L^(5/2)/2K log4 6L^2where K and L denote capital and Inbour. Calculate the output when the capital and labour are 10 and 20 units, respectively.arrow_forward
- Brian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}. The inputs are perfect complement.If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. Draw an expansion path on a diagram and derive an expression for the expansion path. How does it depend on the wage and the price of wool?arrow_forward3. Theo employs labor at a competitive wage (W) of $3 per unit, and he employs capitalat a competitive rental rate (R) of $6 per unit.a. State the cost-minimizing rule. You must provide both a written statement of it, and state it as anequation.b. At Theo’s current combination of labor and capital, the marginal product of labor (MPL) is twiceas large as the marginal product of capital (MPK). Is Theo currently employing the optimal ratio oflabor and capital? If not, how should he adjust his hiring of labor and/or capital? Explain.arrow_forwardSuppose that aKC = 5, capital used to produce one yard of cloth. aLC = 8, labor used to produce one yard of cloth aKF = 4. capital used to produce one calorie of food aLF = 6. labor used to produce one calorie of food. Which of the following is True? a. Cloth is labor intensive. b. Food is labor intensive. c. Both food and cloth are labor intensive. d. Both food and cloth are capital intensive.arrow_forward
- 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_forwardplease asnwer the question in the image Some economists believe that the U.S. economy as awhole can be modeled with the following productionfunction, called the Cobb–Douglas production function:Y 5 AK1/3L2/3,where Y is the amount of output, K is the amount ofcapital, L is the amount of labor, and A is a parameterthat measures the state of technology. For this productionfunction, the marginal product of labor isMPL 5 (2/3) A(K/L)1/3.Suppose that the price of output P is 2, A is 3, K is1,000,000, and L is 1,000. The labor market is competitive,so labor is paid the value of its marginal product.a. Calculate the amount of output produced Y and thedollar value of output PY.b. Calculate the wage W and the real wage W/P. (Note:The wage is labor compensation measured in dollars,whereas the real wage is labor compensationmeasured in units of output.)c. Calculate the labor share (the fraction of the value ofoutput that is paid to labor), which is (WL)/(PY).d. Calculate what happens to output Y,…arrow_forwardUse a graph of labor input and its marginal product to argue that in the specific factors model(i.e. in the short run), an inflow of labor to a country reduces wages in the country. How are the rental rates of specific factors affected? see figure 5-2 in the slides. The rental rates of specific factors rise, because their marginal products rise due to an increase in labor intensity.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, Inc
Microeconomics: Principles & PolicyEconomicsISBN:9781337794992Author:William J. Baumol, Alan S. Blinder, John L. SolowPublisher:Cengage Learning
Economics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage Learning
Principles of Economics 2eEconomicsISBN:9781947172364Author:Steven A. Greenlaw; David ShapiroPublisher:OpenStax
Exploring Economics
Economics
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:SAGE Publications, Inc
Microeconomics: Principles & Policy
Economics
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:Cengage Learning
Economics (MindTap Course List)
Economics
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Cengage Learning
Principles of Economics 2e
Economics
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:OpenStax