2) InvaseCorp has a patent for a unique activity tracking app. The market demand for the app is given by P = 124 - 0.1Q. The total cost of producing the app is given by TC = 2000 + Q + 0.05Q2 and the marginal cost is MC = 1 + 0.1Q. a) What is InvaseCorp's prot-maximizing choice of price and quantity? b) How much prot does InvaseCorp make at the profit-maximizing choice? c) Once the patent expires and a large number of competitors are able to enter the market, what will total output in the market rise to? What will be the resulting market price? d) Once the patent expires and a large number of competitors are able to enter the market, what is the total dollar value of the increase in total surplus compared to when Invase Corp had a monopoly