The cable company has a natural monopoly on cable services to households in the county. They can provide the service at ATC = 480/Q + 5, MC = $5. Demand is given by P = 77 – 1.5Q. What are the following prices for the cable company?
Socially Optimal Price
Fair-Return Price
Monopoly Price
3.
Under monopoly, MR = MC
TR = p*Q = 77Q - 1.5Q^2
MR = dTR / dQ = 77 - 3Q
So, 77 - 3Q = 5
Qm = 25
Pm = 77 - (3*25)
Pm = $2
So,
Socially Optimal Price = 5
Fair-Return Price = 17
Monopoly Price = 2
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