Solve ASAP Consider a firm with revenue given by R = 10e − e2 where e: working effort of a typical employee. Now, find out the effort level of the typical employee and the expected profit of the firm for each of following suggested payment schemes. Note that • the employee chooses its effort to maximize wage w minus effort e (assuming that each unit of e will have a cost of 1) • the firm makes profits R − w a) Payment Scheme A: { w = 2 for e ≥ 1 w = 0 for e ≤ 1 . b) Payment Scheme B: { w = R/2 for e ≥ 1 w = 0 for e ≤ 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Consider a firm with revenue given by R = 10e − e2

where e: working effort of a typical employee. Now, find out the effort level of the typical employee and the expected profit of the firm for each of following suggested payment schemes. Note that

• the employee chooses its effort to maximize wage w minus effort e (assuming that each unit of e will have a cost of 1)

• the firm makes profits R − w

a) Payment Scheme A: { w = 2 for e ≥ 1 w = 0 for e ≤ 1 .

b) Payment Scheme B: { w = R/2 for e ≥ 1 w = 0 for e ≤ 1

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