Economics
Economics
5th Edition
ISBN: 9781319066604
Author: Paul Krugman, Robin Wells
Publisher: Worth Publishers
Question
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Chapter 20, Problem 7P
To determine

Hugh’s marginal utility of income and his attitude towards risk.

Concept Introduction:

Expected Value: It is defined as the weighted average of probable events where the weights of each probable value corresponds to the chances of that value occurring. The formula to calculate the expected value is:

Economics, Chapter 20, Problem 7P , additional homework tip  1

Where,

  • Economics, Chapter 20, Problem 7P , additional homework tip  2is expected value.
  • Economics, Chapter 20, Problem 7P , additional homework tip  3is probability of event 1.
  • Economics, Chapter 20, Problem 7P , additional homework tip  4is probability of event 2.
  • Economics, Chapter 20, Problem 7P , additional homework tip  5is probability of event N.
  • Economics, Chapter 20, Problem 7P , additional homework tip  6is event 1.
  • Economics, Chapter 20, Problem 7P , additional homework tip  7is event 2.
  • Economics, Chapter 20, Problem 7P , additional homework tip  8is event N.

Expected Utility: It is defined as the value of a person’s total utility, so that there is no certainty for future results.

Marginal Utility: When there is an increase in total utility then the amount of increase which happens due to variation in one unit is known as marginal utility. The formula to calculate the marginal utility is:

Economics, Chapter 20, Problem 7P , additional homework tip  9or

Economics, Chapter 20, Problem 7P , additional homework tip  10

Where,

  • Economics, Chapter 20, Problem 7P , additional homework tip  11is marginal utility.
  • Economics, Chapter 20, Problem 7P , additional homework tip  12is total utility.
  • X is any quantity of goods.
  • Economics, Chapter 20, Problem 7P , additional homework tip  13is the number of goods.

Risk: It is the uncertainty about results in times to comes. When it is related to money it is known as financial risk.

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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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