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Futons Inc. produces futons using only two inputs – capital (wood, nails, and hammers) and labor (measured in worker hours) – with a technology characterized by the following function:

q = 2ln(K + 3L)

Futons Inc. spent $100 on 100 units of capital at the beginning of the period. They can neither purchase nor sell units of wood, nails, and hammers until the end of the period, but the material does not lose any value over time.

a) Solve for the average product of labor and the marginal product of labor.

b) Assuming that futon makers earn a wage of $9 per hour and the prevailing interest rate in the economy is 10 percent, solve for short run costs as a function of the numbers of futons produced.

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Joshua Stredder
Joshua StredderLv10
28 Sep 2019

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