Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
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Chapter 12, Problem 2.2P

(a)

To determine

The number of workers hired.

(b)

To determine

The number of workers hired.

(c)

To determine

The number of workers hired.

(d)

To determine

The allocation of resources.

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Consider the following production function for shirts: q = v6 L3/4K/4, where L is worker-hours, and K is sewing machine-hours. a. Compute the marginal products of labor and capital, the average product of labor, and the marginal rate of technical substitution of labor for capital (i.e. how many units of capital are needed to make up for the loss of one unit of labor)? b. Are there diminishing returns to labor (that is, does the marginal product of labor decrease when labor L increases)? What about to capital? Is there diminishing marginal rate of technical substitution (MRTS)? с.
Suppose that you are starting up a lawn-raking business. All of your workers are required to supply their own rakes, so the only cost to you is hiring labor at an hourty rate. Suppose that the market price of raking someone's yard is $50 per lawn and the hourly wage is $25 per hour. The following graph shows the production function (PF) for your business. On the following graph, use the green line (triangle symbol) to plot the daily isoprofit curve that indicates the profit-maximizing level of output. (Hint: Derive the slope of the isoprofit curve and then move the curve up or down until it's in the position you warnt; this is because you do not know the amount of profit that will yield the desired curve.) Then use the black point (plus symbol) to indicate the profit-maximizing level of labor and output per day. Note: You will not be graded on any adjustments made to the graph. 100 90 Isoprofit 30 Profit Max 40 FF 20 LABOR Hours per day LAWNS RAKED PER DAY
please show graphs and table thank you
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