Microeconomic Theory
Microeconomic Theory
12th Edition
ISBN: 9781337517942
Author: NICHOLSON
Publisher: Cengage
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Chapter 17, Problem 17.10P

Wonopoly and natural resource prices

Suppose that a firm is the sole owner of a stock of a natural resource.

a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account?
b. Suppose that the demand for the resource in question had a constant elasticity form q ( t ) = a [ p ( t ) ] b . How would this change the price dynamics shown in Equation 17.67?
c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?

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Assume that the quarterly demand for an SUV produced by an automobile company is Qd : 150,000 – 1.5P, where Qd is quantity demanded - and P is price per vehicle. A. Using the concept of elasticity of demand, what price should be charged to maximize revenue from sales of this SUV? B. Derive the equation for total revetiue for this product. Clearly show you steps. C Using (b) above, determine the unit price that maximizes total revenue from sales.
Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows:   QD= 89,830-40PS+20Px+15Py+2I+0.001A+10W                                                                                                    Where,    QD = quantity purchased, PS = the price of smooth sailing sailboats, PX = the price of Company X’s sailboat, PY = the price of Company Y’s motorboat, I = per capita income in dollars, A = dollars spent on advertising, and W = number of favorable days of weather in the southern region of the United States.   Suppose that PS = $9,000, PX = $9,500, PY = $10,000, I = $15,000, A = $170,000, and W = 160. Find the price elasticity of demand at that point. Is elastic, inelastic, or unitary elastic in part (a)? Justify?
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