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3. (20 points) There are two food trucks parked in front of the Max Gluskin house. Food truck one (C) sells mouth watering cheese burgers, and food truck two (B) sells the freshest burritos. The demand for each depends on the price of the other. The demand for cheese burger is go = 20 2P0 + PB where P0 is the price for cheese burgers and PB is the price for Burritos. Food truck C's cost function is 00 = qc. The demand for Burritos is qB = 50 5P3 + PC and the cost is CB 2 5qB. If the two food trucks enter a price competition. (a) Write down the prot function for each food truck. (b) Find the reaction function for food truck C. (c) Find the reaction function for food truck B