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2. (30 pts) Consider a Stackelberg game of quantity competition in cigarettes between Philip Morris (biggest brand is Marlboro) and RJ Reynolds (biggest brand is Camel). Phillip Morris is the leader, and Reynolds is the follower. Market demand is described by the inverse demand function P 1000 4Q. Each firm has a constant unit cost of production equal to 20. a) Solve for the Nash equilibrium outcome in quantities, market price, and variable profits b) Suppose Reynolds unit cost of production is c ? 20. What value would c have so that in the Nash equilibrium the two firms, leader and follower, had the same market share (i.e., quantity sold)?

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4q1 -490 q1 122.5 2 (122.5-0.25-122.5) 61.25 Price 1000-4(122.5 61.25) $265 Profit for firm 1-(265-20) 122.5- $30012.5 Profitnd q2 (125-0.125z-0.5q1) 1 (125-0.125 (8q1-960) 0.5q1) q1 125120-q1-0.5q1 2.5q1 245 q1 = q2 = 98. AT this level zー&*98-960 =-

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