Output is produced according to Q=4LK, where L is the quantity of labor input and K is the quantity of capital input. If the price of K is $10 and the price of L is $5,then the cost minimizing combination of K and L capable of producing 32 units of output is:
Cost = 5*L+10*K
Q=4LK
32 = 4LK
L= 8/K
Cost = 5*L+10*K= 5*8/K +10K
For cost minimization
dCost/dK = -40/K^2 +10
K= 2
L= 8/2= 4
K=2
L=4
Output is produced according to Q=4LK, where L is the quantity of labor input and K...