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14:52 ' 3nd .III 25%. PROBLEM IX. There are three rms in a market, rm A, rm B, and rm C. These rms produce an

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14:52 ' "3nd\" .III 25%. 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 W1 = 2 and that of input 2 is tug = 8. Firm A has a production function 14 14 fA($1712) = 931/ 12/ ' Firm B has a production function fB(m1) = 3x; + 53:2. Firm C has a production function f0(x2) = min{21:1,6$2}. Q46. Firm A's conditional factor demand functions are (a) $1 = 11/2 and $2 = y/4. (b) :51 = 2;];2 and 12 = y2/2. (c) 1.1: and $2 = 3\\/;E/2. (d) $1: 33/4 and x2 = 3/2. (c) m; = 4y and $2 = y. Q47. Firm A's cost function is (a) 0(9) = 2y- (b) C(y) = 112/4- (C) C(11) = 4W?- W C(y) = 2y? (9) 0(3)) = 8312' 1701'18 Ill 0

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