Question five: Suppose that business travelers and vacationers have the following demand for airline tickets from City X to City Y:
a) As the price of tickets rises from $200 to $250, what is the price elasticity of demand for (i) business travelers and (ii) vacationers? (Use the arc elasticity method in your calculations.)
b) Why might vacationers have a different elasticity from business travelers?
Part II: 20%
Question One: Mathematically show that
Where MR is marginal revenue; εp is price elasticity of demand
Question Two: TV is contemplating a T-shirt advertising promotion. Monthly sales data from T-shirt shops marketing the “Eye Watch KRMY-TV” design indicate that
Q = 1,500 – 200P
where Q is T-shirt sales and P is price.
A. How many T-shirts could KRMY-TV sell at $4.50 each?
B. What price would KRMY-TV have to charge to sell 900 T-shirts?
C. At what price would T-shirt sales equal zero?
D. How many T-shirts could be given away?
E. Calculate the point price elasticity of demand at a price of $5.
Question Three: Silkwood Enterprises specializes in gardening supplies. The demand for its new brand of fertilizer, Meadow Muffins, is given by the equation Q = 120 - 4P.
a. Silkwood is currently charging $10 for a pound of Meadow Muffins. At this price, what is the price elasticity of demand for Meadow Muffins?
b. At a price of $10, what is Silkwood’s marginal revenue?
c. What price should Silkwood charge if it wishes to maximize its total revenue?
d. At the total revenue maximizing price, what is the price elasticity of demand for Meadow Muffins?
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