Managerial Economics & Business Strategy (Mcgraw-hill Series Economics)
Managerial Economics & Business Strategy (Mcgraw-hill Series Economics)
9th Edition
ISBN: 9781259290619
Author: Michael Baye, Jeff Prince
Publisher: McGraw-Hill Education
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Chapter 4, Problem 25PAA
To determine

The aggregate demand curve when demand function of male and female are given.

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When trying to assess differences in her customers, Claire—the owner of Claire’s Rose Boutique—noticed a difference between the typical demand of her female versus her male customers. In particular, she found her female customers to be more price sensitive in general. After conducting some sales analysis, she determined that her female customers have the following demand curve for roses: QF = 24 − 2P. Here, QF is the quantity of roses demanded by a female customer and P is the price charged per rose. She determined that her male customers have the following demand curve for roses: QM = 27 − P. Here, QM is the quantity of roses demanded by a male customer. If two unaffiliated customers walk into her boutique, one male and one female, determine the demand curve for these two customers combined (i.e., what is their aggregate demand?).
UniQ is a company that produces speaker HF drivers and woofers in the UK. Their largest consumer is KEF, a UK loudspeaker manufacturing company. The manager of KEF has asked the research department to find out how sensitive KEF’s demand for HF driver is. The research department has estimated that KEF’s preferences over HF drivers(x) and woofers(y) can be described by the utility function U(x,y) = x^1/2 y^1/2 The price for one unit of woofer is equal to £1. It is estimated that KEF’s budget is £10,000. Find the price-consumption curve for HF drivers and the corresponding demand curve.
The MacDonald sells two popular packages of breakfast all day long: Mac A and Mac B. The sales of these products are not independent of each other (in economics, we call these substitutable products, because if the price of one increases, sales of the other will increase). The store wishes to establish a pricing policy to maximize revenue from these products. A study of price and sales data shows the following relationships between the quantity sold (Q) and prices (P ) of each model: QA = 20 - 0.62PA + 0.3PBQB = 29 + 0.1PA - 0.6PBi . Construct a model for the total revenue and implement it on a spreadsheet. b. Develop a two-way data table to estimate the optimal prices for each product in order to maximize the total revenue. c. Use "Solver" to find the optimal prices.
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