PLEASE ANSWER BOTH PARTS AND SHOW EVERY STEP. THANK YOU!!!

Part A (12 points) Suppose that the monopolist can produce a good with total cost TC = 240. Assume also that he monopolist sells its goods in two different markets separated by some distance. The demand curves in the first market and the second market are given by Q, = 120 -- and Q2 = 360 - 3P. If the monopolist can maintain the separation between the two markets. what level of output should be produced in each market, and what price will prevail in each market? Why are the two prices different? Verify the Lerner Index for each market. Part B (12 points) Suppose a monopoly faces a demand curve by Q = 154 - -. The monopolist has two plants. The first has a total cost function given by TC, = 30f and the second plant's total cost function is given by TC. = 20# . How much total output will the monopoly choose to produce and how will it distribute this production between its two factories in order to maximize profits? Find monopolist's profits