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Question 3 (15 marks) A smartphone company owns two factories. Factory A has production function m1 = (KALAJHE while Factory B has production: 9'3 = {KBLBJI'M with respective MRTSs both being: K H MRTSA = ?M;'TSg = 3 LA LB where Km L; are the capital and labor for Factory A; K3,, L3 are the capital and labor for Factory B. The prices for capital and labor are common across the two factories, denoted by r? m respectively. Q3a. [5 marks) Separately derive the cost functions for each rm, denoted by C(EIA} and She] respectively. Q31). (5 marks) If the rm assigns equal amount of production {i 3:- 1] to both factories, show that rm A will hire moreess labor than rm B does. Q3c. (5 marks] Now suppose that the rm would equate the marginal costs of the two factories. If the rm decides to produce a total output of 2;? :21 I], nd out the only.r level of [j where it indeed assigns equal output {j to each of the two factories. Use the marginal cost formula mentioned in the hint