Please answer all.

1. Suppose there are high barriers to entry in the coal market and a monopoly that operates in this market faces the following demand for coal: Qd = 150 - P and the cost of production is: C = 50+ Q a. Calculate the monopoly's maximizing quantity, price, and profits. (5 points) b. Calculate the Deadweight Loss induced by the presence of this monopoly. (5 points) c. Suppose all barriers to entry did not exist, and the coal market became perfectly competitive. Determine the market equilibrium price, quantity and number of firms operating, what is the number of producers in the coal market? (10 points) 2. Suppose that demand and supply for solar electric systems in a city in California (Q is measured in kW and P in thousand USD/kW) are Qa = 70 - 3*P and Qs = -5 + 2*P. a. If a subsidy of $2000 is paid per kW, how much of the subsidy do consumers get? Ho much of the subsidy do suppliers get? (5 points) b. How much does it cost the government? (10 points) c. Compute the change in CS, the change in PS, and the DWL. (10 points)