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Question: You run a tutoring service for economics students. On half of all days the demand for your service is high, with
QH = 10 - 0.2P
QH is the number of hours you will work if you choose price P. On the remaining days, demand is low:
QL = 5 - 0.2P.
High and low days arrive at random with probabilities of 0.5 each. Your marginal opportunity cost is $10 per hour on all days. You want to choose a price that maximizes your average profit per day, but that price must be the same on all days. Find that price.
a. Show that this price leaves you with a smaller profit than if you can announce different prices early in the morning of each day, after you have learned whether demand will be high or low.
Utility suppose that the utility function for two products is given by U = x - y, and the budget constraint is 2x + 3y = 120.
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1. a special interest group cannot impose its will on the majority because the perceived costs and benefits from
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a consumers utility function is ux y 2xy2 . the price of x is px the price of y is py and the consumers income is i. x
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