Part L! All parts

L. The two input, one output case A firm uses inputs T1, 12 0. The competitive firm's problem is II(P1, P2, P3) = max pili+P242+P373 subject to F(I1, 12, 13) 5 0. 1. Set up the Lagrangean for the firm's profit maximiza- tion problem and give the FOCs. 2. Solve for the firm's supply function. 3. Solve for the firm's input demand functions. 4. Find c($3; P1, P2) = min piri +p272 subject to (-$1, -12, 13) E Y. 5. Solve the problem maxz,20 P373 - C(13; P1, p2)] and show that you have the same supply function as you found above