Marginal utility .

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Chapter 7.1, Problem 1QQ

To determine

Marginal utility.

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2. Case 1) NG price decreases Now, suppose that the price of natural gas decreased substantially, causing the marginal cost of the NG power plant to decrease to MC = $35/MWh. The demand is the same as in Case 0. (a) Draw a new supply curve that reflects the MC change of the NG power plant. (b) Find the market clearing prices and calculate how much electricity each power plant generates in the hourly market (4AM, 10AM, 2PM, and 6PM). (c) What happened to the coal power plant? (d) Do you think the market outcomes (like average price) and the total CO2 emissions have improved under this Case 1 scenario (use the emissions data provided in the lecture slides)?

1. Case 0) Baseline case Table 1: Power Plant Capacity and Marginal Cost: Case 0 Plant # Energy Source Capacity (MW) MC (S/MWh) 1 Coal 300 45 2 Oil 100 90 3 4 Natural Gas Nuclear 500 50 600 0 (a) Calculate the capacity mix of this market by energy source. (b) Draw a supply curve of this wholesale generation market. Table 2 below shows the demand levels for selected hours of a representative day. We will consider only these four hourly markets for our analysis. Note that the 6 PM demand is the highest demand level of the day. Table 2: Hourly Demand (selected hours) Hour Demand (MWh) 4 AM 500 10 AM 700 2 PM 800 6 PM 1000 (c) Find the market clearing prices and calculate how much electricity each power plant generates in the hourly market (4AM, 10AM, 2PM, and 6PM). (d) Find the average price of electricity (by taking a simple average of hourly prices; [P(4am) + P(10AM) + P(2PM) + P(6PM)]/4).

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