Question 1: Video game industry. Suppose that there are only two companies in the video game industry who produce video game consoles: Xbox by Microsoft and Playstation by Sony. Microsoft’s cost function is T Cm = (qm)2, while Sony’s cost function is T Cs = 12qs. The market demand is Q = 940 − P ,where P is the market price and Q denotes the total quantity of the two companies combined. (a) What is each company’s marginal cost?(b) Derive the reaction function of each duopolist.(c) How much will each company produce?(d) Illustrate your solution using a graph.(e) What will the market price be?(f) Find each company’s profit.

The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?