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A firm has the following short run total product curve: TPL = Q = 10.5L +...

A firm has the following short run total product curve:

TPL = Q = 10.5L + 1.5L2 - .0625L3,

where labor, L, is the only variable input and TPL is the total output produced per day. Assume the firm faces a fixed price of $16.00 per unit for its output. Also assume that only whole units of output are possible.

a.If the firm must pay a market-determined wage rate of $60.00 per day for each unit of labor hired, how much labor should it employ?

b.If the firm's daily fixed costs total $1000.00, what will be its total profit per day?
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