You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 5000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = -2500p · 10000 (b) Find the price elasticity of demand. E(p) = -1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit
price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the
demand equation for Johannesburg hamburgers is linear.
(a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales
amount to 5000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data
to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers
they sell at that price per week.
q(p) = -2500p · 10000
(b) Find the price elasticity of demand.
E(p) = -1
Transcribed Image Text:You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 5000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = -2500p · 10000 (b) Find the price elasticity of demand. E(p) = -1
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