7. Fred's Factory 200 a'ne Fred' Factory sells in a perfectly competitive market. Fred's production function is: Q = 6L½K½ Prices of the output and inputs are: P = 2 w = 1 r = 8 a. Calculate Fred's long-run profit-maximizing employment of labor and capital. Also find Fred's profit-maximizing output, revenue, cost, and profit. Q* ル+6K L* = K* = max L= R* = C* = E ml sdd yd bo beb a N* = b. Calculate output, cost, revenue, and profit if Fred's Factory employs 27 units of labor and 27/8 units of capital. Q = R = C =

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7. Fred's Factory
200 ano
Fred' Factory sells in a perfectly competitive market.
Fred's production function is:
Q = 6LK½
Prices of the output and inputs are:
P = 2
w = 1
r = 8
a. Calculate Fred's long-run profit-maximizing employment of labor and capital. Also find
Fred's profit-maximizing output, revenue, cost, and profit.
Q* =
Cル+6K
L* =
K* =
max L =
R* =
C* =
N* =
b. Calculate output, cost, revenue, and profit if Fred's Factory employs 27 units of labor
and 27/8 units of capital.
Q =
R =
C =
Transcribed Image Text:7. Fred's Factory 200 ano Fred' Factory sells in a perfectly competitive market. Fred's production function is: Q = 6LK½ Prices of the output and inputs are: P = 2 w = 1 r = 8 a. Calculate Fred's long-run profit-maximizing employment of labor and capital. Also find Fred's profit-maximizing output, revenue, cost, and profit. Q* = Cル+6K L* = K* = max L = R* = C* = N* = b. Calculate output, cost, revenue, and profit if Fred's Factory employs 27 units of labor and 27/8 units of capital. Q = R = C =
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