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Exercise 2.6 Peak Load Pricing Simulation In Exercise 1.6, we saw that peak load pricing can increase profitability by leveling use between peak and off-peak periods (thereby reducing the need for expensive capacity). In this exercise, we examine how uncertain demand influences our results. Suppose that the peak and off-peak demand levels from Exercise 1.6 represent the average hourly demands during these times. Represent the uncertainty by multiplying the average demand by a normal distribution (with mean =1, standard deviation =0.25 ). Each hourly demand will be random, and assume that each varies independently of the other hours. Compare the average daily profitability for the single price (50) scheme and the peak-load pricing scheme (75,25). What is the probability that peak load pricing will be more profitable than the single price scheme? Produce a graph that shows how hourly demand levels fluctuate during the day under the two pricing schemes