The production function for diapers is: q = 6L1½ K/2 Where q is the number of diapers produced, L is labor hours, and K is machine hours. Assume that the firm can use part of an hour of capital and part of an hour of labor. a) If the diaper firm wants to produce q= 60, what combination of L and K would it %3D use if the rental rate of capital = Px = $4/hour and the wage rate of labor = PL = $2/hour?

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3. The production function for diapers is:
q = 6L12 K2
Where q is the number of diapers produced, L is labor hours, and K is machine
hours.
Assume that the firm can use part of an hour of capital and part of an hour of labor.
а)
If the diaper firm wants to produce q = 60, what combination of L and K would it
use if the rental rate of capital= Pg = $4/hour and the wage rate of labor = P, = $2/hour?
2
b)
If the diaper firm continues to produce q = 60, what combination of L and K
would the firm use if Pg stayed the same, but P, increased to $4/hour?
If P, = $4 and P = $4, how much K and L would the diaper firm use to produce
36 diapers? 30 diapers?
d)
Using your answers to (b) and (c) graph the long-run average cost curve for the
firm.
Transcribed Image Text:3. The production function for diapers is: q = 6L12 K2 Where q is the number of diapers produced, L is labor hours, and K is machine hours. Assume that the firm can use part of an hour of capital and part of an hour of labor. а) If the diaper firm wants to produce q = 60, what combination of L and K would it use if the rental rate of capital= Pg = $4/hour and the wage rate of labor = P, = $2/hour? 2 b) If the diaper firm continues to produce q = 60, what combination of L and K would the firm use if Pg stayed the same, but P, increased to $4/hour? If P, = $4 and P = $4, how much K and L would the diaper firm use to produce 36 diapers? 30 diapers? d) Using your answers to (b) and (c) graph the long-run average cost curve for the firm.
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