SupposeasinglemonopolistinstallsMicrosoft power walls and Exxon power generators for Austin households. After the winter power breakdowns and possible future hot summer power outages, households are willing to install either two Microsoft power walls or one power generator in order to "survive" the future outages.The demand for two Microsoft power walls is q_t = 482p, and the demand for Exxon power generators is q_g = 362p.For simplicity (and contrary to the facts) assume that the monopolist pays the same marginal cost MC= 6.The demand quantities q_t and q_g are measured in thousands of power units, and the prices p and MC are measured in thousands of $U.S.

(a)Suppose, the price of one power unit (i.e., one Microsoft power wall or one generator) is p= 20.What is the market demand for power units?

(b)Suppose, the price of one power unit is p= 15.What is the market demand for power units?

(c)Derive the market demand for power units for any price p.

(d)Suppose, the monopolist charges the same price for one Microsoft power wall and one generator.How many power walls and generators will be provided?What profits will the monopolist earn?

(e)Suppose,themonopolistchargesprices p_t and p_g peroneMicrosoft power wall and per one power generator, respectively.How many power walls and generators will be provided?What profits will the monopolist earn?