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 +€, where X = Quality, e = effort, and e = Luck || E(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) = e with e20 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.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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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 +€,
where X= Quality, e = effort, and e = Luck
E(e) = 0.
.so average quality depends on effort
Wages are contingent on outcome (X) where w =
C(e) = e² with e20
10 + 8 X and the cost of effort
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 +€, where X= Quality, e = effort, and e = Luck E(e) = 0. .so average quality depends on effort Wages are contingent on outcome (X) where w = C(e) = e² with e20 10 + 8 X and the cost of effort 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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