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If the following are the demand and total cost schedules for Company Town Water,

ID: 1189573 • Letter: I

Question

If the following are the demand and total cost schedules for Company Town Water, a local monopoly

Output in Gallons        Price per Gallon         Total Cost

50,000                    $0.28                  $6,000

100,000                    0.26                   15,000

150,000                    0.22                   22,000

200,000                    0.20                   32,000

250,000                    0.16                   46,000

300,000                    0.12                   64,000

How much output will Company Town Water produce, and what price will it charge? Will it earn a profit? How much?(Hint: First compute the firm’s MR and MC schedules

Calculation Procedure:

To find the sales-maximizing solution. In terms of the firm’s MR, why are the answers different.

Calculation Procedure:

Explanation / Answer

The monopolist will produce where MR meets MC.

The following table shows marginal revenue and cost at each output level:

MR =MC=0.14 at quantity 150000 at price $0.22 .

Profit = TR - TC = 33000-22000 =$11000.

Q P Total Cost MC Total Revenue Marginal Revenue 50000 0.28 6000 14000 100000 0.26 15000 0.18 26000 0.24 150000 0.22 22000 0.14 33000 0.14 200000 0.2 32000 0.2 40000 0.14 250000 0.16 46000 0.28 40000 0 300000 0.12 64000 0.36 36000 -0.08