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In this problem you are going to figure out alternative ways of regulating a monopoly provider of residential water. You will first use regression analysis
- In this problem you are going to figure out alternative ways of regulating a monopoly provider of residential water. You will first use regression analysis to estimate the demand curve for water. You will then find the monopoly's profit-maximizing output and price levels, the "zero-profit" output and price level, and finally the output and price level that would prevail if the industry were perfectly competitive. I also want you to calculate producer profit and consumer surplus. To be clear I want you to fill in the table below. want you to answer the questions that are written below the data. Show your work.
Solution Criterion | |||||||
Profit Max | Zero-Profit | Perfectly Competitive | |||||
Output level | |||||||
Price charged | |||||||
Consumer Surplus | |||||||
Profit | |||||||
Consumer Surplus plus Profit | |||||||
Here are the data you need.
Fixed costs per year: $4 million
Marginal cost of delivering water: $2.00 per ccf
Data to estimate demand curve
Consumption | Price |
(million ccf) | ($/ccf) |
7.91 | 3.5 |
4.17 | 4.56 |
3.34 | 7.78 |
8.25 | 2.23 |
8.67 | 4.65 |
3.89 | 7.89 |
5.34 | 3.91 |
4.50 | 4.23 |
6.23 | 6.41 |
7.48 | 2.17 |
9.88 | 2.49 |
6.97 | 4.93 |
4.23 | 6.45 |
5.15 | 4.28 |
5.54 | 7.22 |
8.27 | 1.15 |
6.12 | 2.51 |
7.19 | 7.46 |
- Estimate your linear demand curve for water. Use space below to show your regression results. Interpret your coefficients.
- Use your demand curve and the cost data provided to calculate the monopolist's profit-maximizing output level, price, consumer surplus, and profit. Pay attention to your units!
- Calculate the output and price level that generates zero profit for the producer. Calculate profit and consumer surplus.
- Calculate the output level and price under the assumption of perfect competition. Calculate profit and consumer surplus.
- What output level would you, as regulator of the monopoly, pick as the best policy? Justify your answer.
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