There are 10 households in Lake Wobegon, Minnesota, each with a demand for electricity of Q = 60 - P

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There are 10 households in Lake Wobegon, Minnesota, each with a demand for electricity of Q = 60 - P.

Lake Wobegon Electric's (LWE) cost of producing electricity is TC = 500 + 2Q.

a) If the regulators of LWE want to make sure there is no deadweight loss in this market, what price will they force LWE to charge?

b) What will output be in that case?

c) Calculate consumer surplus and LWE's profit at that price.