EXPLORING ECONOMICS
EXPLORING ECONOMICS
8th Edition
ISBN: 2818000015614
Author: Sexton
Publisher: SAGE
Question
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Chapter 16, Problem 1P
To determine

The marginal product and the marginal revenue product of labor is to be completed in the table.

Expert Solution & Answer
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Explanation of Solution

Marginal product of labor is the change in total labor due to an addition of one more unit of labor.

Initial labor is q1 and initial output is Q1

So, the increase in labor by one more unit is q1+1 and the output is increased to Q2. So the marginal product of labor will be equal to MP = Q2- Q1

Marginal revenue = MPXP

The table will be completed using the above equations.

    Quantity of labor (q)Total Output(Q)Marginal product of labor (MP)Marginal revenue product of laborMRP = MP X $4
    0
    1250250$1000
    2600350$1400
    3900300$1200
    41125225$900
    51300175$700
    61450150$600
    71560110$440
Economics Concept Introduction

Marginal Product:

is defined as the change in the total output due to one unit change in the input.

Marginal Revenue:

is defined as the marginal product times the price of the product that is MP XP

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A firm operates with the production function Q = K2 L. Q is the number of units of output per day when the firm rents K units of capital and employs L workers each day. The manager has been given a production target: to produce 8,000 units per day. She knows that the daily rental price of capital is $400 per unit and the wage rate is $200 day. a. What is the returns to scale of this production function? Show mathematically. b. Currently the firm employs 80 workers per day. What is the firm’s daily total cost if it rents just enough capital to produce at its target? c. Compare the marginal product per dollar spent on K and on L when the firm operates at the input choice in part (b). What does this suggest about the way the firm might change its choice of K and L if it wants to reduce the total cost in meeting its target? Explain your answer very clearly. d. In the long run, how much K and L should the firm choose if it wants to minimize the cost of producing 8,000 units of output a day?…
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