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Answers to Chapter 3 Exercises - Luiscabral.net

Answers to Chapter 3 Exercises - Luiscabral.net

Answers to Chapter 3 Exercises - Luiscabral.net

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with respect <strong>to</strong> rivals. Indicate the explana<strong>to</strong>ry power of the di↵erent causes considered inthe text (impediments <strong>to</strong> imitation, causal ambiguity, strategy, his<strong>to</strong>ry).Answer: This is a complex question. In fact, as argued in this chapter, this is the questionin strategy. A good source for the particular case of Intel is the HBS case “Intel Corporation:1968–1997,” No. 9–797–137 (Rev. Oc<strong>to</strong>ber 21, 1998).Challenging exercises3.15. Input shares. Consider a firm with production function (Cobb-Douglas)q = ⇠K ↵ LSuppose that output price p and input prices r, w are given. Show that a profit maximizingfirm chooses inputs levels such that the ratio between labor costs and <strong>to</strong>tal revenue w L/p qis equal <strong>to</strong> .Answer:Firm profit is equal <strong>to</strong>p⇠K ↵ LrK+ wLThe first-order condition for maximization with respect <strong>to</strong> L is given byp⇠K ↵ L 1 w =0Noting that⇠K ↵ L1 = q/Lthe first-order condition may be re-written asp q/L w =0or simply= wLpq3.16. Cost minimizing input mix. Consider a firm with production function (Cobb-Douglas)q = K 1 12 L 2Suppose that one unit of capital costs r = 12.5, whereas one unit of labor costs w = 8.(a) Determine the optimal input mix that leads <strong>to</strong> an output of q = 2.Answer: The firm’s problem issubject <strong>to</strong>minK,LrK+ wLq = K 1 2 L129

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