1. Consider the short run production function Y = 2 x1 ^1/3 x2 ^2/3, where x1 = 27.
Suppose p = 100, w1 = 5 and w2 = 4.
a) Compute:
i. The quantity of x2 that maximizes profits.
ii. The quantity of output y, that maximizes profits.
iii. The maximum profit.

For a(I) I got 21
a(ii) I got 137


b) Consider a firm with the cost function, C(q) = 4q2 + 2q + 100
i. What is the supply function of this firm?
ii. Suppose the price of output is 18, what is the profit-maximizing level of output?


For b(I) I got P= 2q
b(ii)OUTPUT = 8


I AM NOT SURE CAN SOMEBODY HELP ME PLEASE MY EXAM IS NEXT WEEK WEDNESDAY AND I can't GET ANYONE TO HELP ME