Suppose That All Workers Place a Value on Their Leisure

question 62

Essay

Suppose that all workers place a value on their leisure of 75 goods per day.The production function relating output per day Y to the number of people working per day N is
Y = 500N - 0.4 N²,
and the marginal product of labor is
MPN = 500 - 0.8 N.
A 25% tax is levied on wages.
(a)How much is output per day?
(b)In terms of lost output,what is the cost of the distortion introduced by this tax?

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