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PROBLEM IX. There are three rms in a market, rm A. rm B, and rm C. These rms produce an output good from two input goods. input 1 and input 2' The price of input. 1 is w; = 2 and that. of input 2 in w: z 5' Firm A has a production function fauna) : 1:143:14. Firm B has a production function fut\") = 31:; + 5.13. Firm C has a production function 10(12): m.in{21'1'69:2}i Q46. Firm A's conditional [actor demand functions are (a) :1 : y/E and :2 = yf-L (b) 1:]: 2g2 and 1-, = gull/2. (c) I] = y and $2 = E. (d) :1 = \"[4 and 12 = y\". (e) 11 = 4y and at; : y. Q47. Firm A's cost function is (a) CH!) = 2y. ('7) my) =91\"- (c) C(y) = d. (d) 9(9) : 2112- (0) 0(9) = 33'2- Q4-5. Firm A's average cost function is in) A001) = 8y- (b) A091): at (C) 110(9) = 4&5- (d) A00!) = 3/41 (e) 140(9) = 2y? Q49 Finn B's cost function is (a) C(y) = 39/5- 0)) Chi) = /- (C) C(y) = iii/3- (d) C(12) = 39/2- (e) 0(9) = 59/3- QSOV Firm C's cost function is (8) Cut) = 2W5- (b) C(y) = Ty/S- (c) C(11) = 3W}?- (d) CI?) = Sir/2- (e) C(y) = 39/