For each of the following production functions (A-B) answer the following questions (i-v)

i.) Calculate the marginal products MPL and MPK

ii.) Calculate MRTS L,K and determine if this is diminishing as good L increases

iii.) If Q 0 = 50, w=8 and r=2, determine long-run cost minimizing combination of labor and capital and the associated total cost

iv.) If Q0=50, w=8 and r=2, determine short-run cost minimizing combination of labor and capital and the associated total cost if the firm is stuck with K=4 unit of capital in the short run

v.) Do we have too much or too little capital in the short run, and how much money is the firm losing by being stuck with K=4 unit of capital in the short run

A. Q (L,K)=2L^2+ 2K^2

B. Q (L,K)= 2LK+15k