Microeconomics
Microeconomics
11th Edition
ISBN: 9781260507041
Author: Colander, David
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 12.A, Problem 1QE
To determine

Determine the changes in the marginal rate of substitution, when a firm increases the use of one input, keeping the output constant.

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IV. Will can produce a higher grade, Gw, on an upcoming economic exam by studying. His production function depends on the number of hours he studies marginal analysis problems, A, and the number of hours he studies supply and demand problems, R. Specifically, Gw = 2.5A0.36R 0.64. His roommate David's grade production function is G) = 2.5A0.25R0.75 a. What is Will's marginal productivity from studying supply and demand problems? What is David's? b. What is Will's marginal rate of technical substitution between studying the two types of problems? What is David's?
Gopher Excavators produces shovels in a small factory and sells the shovels in a competitive market. The following table shows the company's production function: Output (Number of workers) (Shovels) Labor 1 100 195 275 4 340 380 Use the blue points (circle symbol) to plot the production function for Gopher Excavators on the following graph. 40 Producion Function 340 100 130 40 LABOR (Number of workana) Calculate the marginal product of labor (MPL) of each worker, and then plot the MPL curve on the following graph using the blue points (circle symbol). Note: Remember to plot each point halfway between two integers. For example, when the number of workers increases from 0 to 1, the MPL of the first worker should be plotted with a horizontal coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect the points. (genoygl indino
Now assume there is production in the economy. What is the relation between the marginal rate of substitution and the marginal rate of transformation in a general competitive equilibrium? Derive such relation and explain the intuition behind it.
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