Please provide all the calculations and explanations necessary to explain your answer.

The market for sandwiches consists of two sandwich shops operating in the local market that produce near identical products and that the inverse de- mand for sandwiches over the lunch hour is given by P = 280 2(Q1 + Q2). In this market each rm independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two rms. The cost function for Shop 1 is 01(Q1) = 3Q1, and costs for Shop 2 is 02 (Q2) = 2622. Given this information answer the following: (8 Marks) (a) Calculate the marginal revenue for each shop. (2 Marks) (b) Calculate the reaction function for each shop. (2 Marks) (c) Calculate the level of output each shop will produce if the market is in equilibrium. (2 Marks) (d) Calculate the equilibrium prots for each shop. (2 Marks)