7.11. A firm produces an output with the production function Q ! KL, where Q is the number of units of output per hour when the firm uses K machines and hires L workers each hour. The marginal products for this production function are MPK ! L and MPL ! K. The factor price of K is 4 and the factor price of L is 2. The firm is currently using K ! 16 and just enough L to produce Q !

32. How much could the firm save if it were to adjust K and L to produce 32 units in the least costly way possible?