A widget maker is selling widget in two cities: City A and City B. The unit production cost is $5.00. Let 1 be the price of widget in City A and 2 be the price of widget in City B. The demand functions in the two cities are: City A: 1(1) = 10000 8001, City B: 2(2) = 8000 5002. (20 points) a) Assuming the widget maker can charge any prices he likes, what prices 1 and 2 should he charge for widget in City A and City B to maximize the total profit? What are corresponding demands the profits in each city