7. A firm's can sell higher quality products for more: P = 10 + 20 X, where X is the quality of the product sold. Workers hired by the firm make a product, the quality of which depends on effort and luck X=e+E, where X = Quality, e = effort, and = E(=)=0.. Luck .so average quality depends on effort

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.8P
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7. A firm's can sell higher quality products for more: P = 10 + 20 X, where X is the
quality of the product sold. Workers hired by the firm make a product, the quality
of which depends on effort and luck
X=e+E, where X = Quality, e = effort, and e
Luck
E(=) = 0.
.so average quality depends on effort
Wages are contingent on outcome (X) where w 10+ 8 X and the cost of effort
C(e) = e² with e≥0
Determine the level of effort, the expected wage, and the expected profit for the
above wage arrangement. Compare your results to the case where workers are
paid a standard wage of $10 and the level of effort and the quality of the product
do not alter the wage.
Transcribed Image Text:7. A firm's can sell higher quality products for more: P = 10 + 20 X, where X is the quality of the product sold. Workers hired by the firm make a product, the quality of which depends on effort and luck X=e+E, where X = Quality, e = effort, and e Luck E(=) = 0. .so average quality depends on effort Wages are contingent on outcome (X) where w 10+ 8 X and the cost of effort C(e) = e² with e≥0 Determine the level of effort, the expected wage, and the expected profit for the above wage arrangement. Compare your results to the case where workers are paid a standard wage of $10 and the level of effort and the quality of the product do not alter the wage.
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