Question

Suppose that a firm's total production function is y=160L^2-L^3 ; where L represents the labor input (in hours). a. Write an expression for the average output per hour of labor. b. Write an expression for the marginal product of labor. c. Solve for the labor input at which average left(frac{y}{L} ight) and marginal left(y^prime left(L ight) ight) products are equal. d. Which of the options is true at the point in part (c)?

          Suppose that a firm's total production function is 
y=160L^2-L^3
; where L represents the labor input (in hours).
a.  Write an expression for the average output per hour of labor.
b.  Write an expression for the marginal product of labor.
c.  Solve for the labor input at which average 
left(frac{y}{L}
ight)
 and marginal left(y^prime left(L
ight)
ight)
 products are equal.
d.  Which of the options is true at the point in part (c)?
        
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Added by Gregg C.

Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Suppose that a firm's total production function is y=160L^2-L^3 ; where L represents the labor input (in hours). a. Write an expression for the average output per hour of labor. b. Write an expression for the marginal product of labor. c. Solve for the labor input at which average left(frac{y}{L} ight) and marginal left(y^prime left(L ight) ight) products are equal. d. Which of the options is true at the point in part (c)?
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Transcript

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00:01 The marginal cost of producing an additional unit of output can be determined by comparing the wage, which is the cost of labor, to the marginal product of labor.
00:10 In this case, the wage is given as $700 a week and the marginal product of labor is 35 units per week...
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