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?
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?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d9e168a-9464-4c08-8d6d-0c3b079a04ec%2F7caacf66-c921-42da-b886-0031299a8a9c%2Fcwhoyy_processed.png&w=3840&q=75)
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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