I NEED THE GRAPH FOR PART A). PLEASE ShOW IT.

13.30 At a busy intersection on Route 309 in Quakertown, PN, the convenience store and gasoline station, Wawa, competes with the service and gasoline station, Fred's Sunoco. In the Bertrand equilibrium with product differentiation competition for gasoline sales, the demand for Wawa's gas is qw = 680-500pw + 400ps, and the demand for Fred's gas is qs = 680-500ps + 400pw. Assume that the marginal cost of each gallon of gasoline is m = 2.00. The gasoline retailers simultaneously set their prices. a. What is the Nash equilibrium? Let's start by looking at Wawa's problem: max (Pw - m)qw = (pw - 2) (680 - 500pw + 400ps) Opw = (680 - 500pw + 400ps) - 1 - 500(pw - 2) = 0 500pw - 1000 = 680 - 500pw + 400ps 1000pw = 1680 + 400ps 1680 + 400ps PW= 1000 1680 + 400pw PS = 1000 We know ps = pw because the problem is symmetric, and in symmetric games, the payoffs are always equal. So we can plug in for ps in the pw equation to get numeric values. 1680 + 400pw PW = 1000 1000pw = 1680 + 400pw 600pw = 1680 PW = 2.8 PS = 2.8 So the Nash equilibrium is(pw, ps) = (2.80, 2.80).Question 2 At a busy intersection on Route 309 in Quakertown, Pennsylvania, the convenience store and gasoline station, Wawa, competes with the service and gasoline station, Fred's Sunoco. Gasoline sold by one store is a close substitute for gasoline sold by the other store. The stores compete in prices for gasoline sales. The demand for Wawa's gas is qw = 680 - 500pw + 400ps, and the demand for Fred's gas is qs = 680 - 500ps + 400pw. Assume that the marginal cost of each gallon of gasoline is m = $2. The gasoline retailers simultaneously set their prices. a. What is the Bertrand equilibrium? Graph the equilibrium