1. In economics, the demand for a product is the amount of that product that consumers are willing to buy at a given price. The quantity demanded of a product usually decreases if the price of that product increases. Suppose that a company believes there is a linear relationship between the demand for its product and its price. The company knows that when the price of its product was $3 per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to $4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded weekly at a unit price of p dollars. a. Find a formula for D in terms of p. b. The company raises the price of the product and that the new quantity demanded weekly is 50 units. What is the new price? c. Give an economic interpretation of the slope of the function you found in part a). d. Find D when p = 0. Find p when D = 0. Give economic interpretations of both of these results.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Linear Functions:
1. In economics, the demand for a product is the amount of that product that consumers are willing to
buy at a given price. The quantity demanded of a product usually decreases if the price of that
product increases. Suppose that a company believes there is a linear relationship between the
demand for its product and its price. The company knows that when the price of its product was $3
per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to
$4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded
weekly at a unit price of p dollars.
a. Find a formula for D in terms of p.
b. The company raises the price of the product and that the new quantity demanded weekly is
50 units. What is the new price?
c. Give an economic interpretation of the slope of the function you found in part a).
d. Find D when p = 0. Find p when D = 0. Give economic interpretations of both of these
results.
Transcribed Image Text:Linear Functions: 1. In economics, the demand for a product is the amount of that product that consumers are willing to buy at a given price. The quantity demanded of a product usually decreases if the price of that product increases. Suppose that a company believes there is a linear relationship between the demand for its product and its price. The company knows that when the price of its product was $3 per unit, the quantity demanded weekly was 500 units, and that when the unit price was raised to $4, the quantity demanded weekly dropped to 300 units. Let D represent the quantity demanded weekly at a unit price of p dollars. a. Find a formula for D in terms of p. b. The company raises the price of the product and that the new quantity demanded weekly is 50 units. What is the new price? c. Give an economic interpretation of the slope of the function you found in part a). d. Find D when p = 0. Find p when D = 0. Give economic interpretations of both of these results.
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