EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Question
Chapter 6, Problem 6.3P
a.
To determine
To draw: Graph of relationship between quantity (q) and labor (L)
b.
To determine
To explain: Average productivity of labor with a graph displaying diminishing productivity.
c.
To determine
To draw: Graph showing marginal productivity of labor and it being lower than average productivity.
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Digging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.
We R' Write is really worried about their production line for pens. The company is concerned that they are employing more workers on the production line than necessary. We R' Write has provided you with the production information for pens in the table below that corresponds to different numbers of workers on the production line.
Describe where the law of diminishing marginal productivity begins for We R' Write.
We R' Write currently uses 75 workers on the production line per day. Given the calculations in the table, is this number optimal? Why, or why not?
If you could make a suggestion regarding the optimal number of workers We R' Write should use on the production line, what would it be? Why?
Number of
Workers per
Day
Pens
Produced per
Day
Average
Product
Marginal
Product
Price per Pen
Total
Value
Product
Average
Value
Product
Marginal
Value
Product
Price of
Worker per
Day
0
0
---
---
$3.50
$0.00
---
---
$560
15
1,000
66.67…
Suppose that the production function for a phone is ? = 20K^0.5L ^0.5 . The marginal product of labor is 10(k/l)^0.5 , and the marginal product of capital is 10(L/K) ^0.5 . Suppose that labor can be hired for $6 and capital can be hired for $9.
a. When the firm is producing 49 units at lowest cost, what will the firm’s marginal rate of technical substitution be?
b. Solve for the lowest-cost combination of labor and capital that will allow the firm to produce 49 phones. Fractional units of labor and capital are allowed.
c. What is the minimum cost of producing 49 phones?
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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