When the unit price of a designer bag is $700 the quantity demanded is 4500 per month. When there is a decrease of $50 in the unit price, the quantity demand increases by 250 units. When the price is $100 or less, retailers are not willing to sell any designer bags; at a price of $600 they are willing to sell as much as 5500 designer bags per month. If it is assumed that the demand and supply functions are linear. i. Find the demand function | ii. Find the supply function iii. Find the approximate equilibrium quantity and price

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 5ECP
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When the unit price of a designer bag is $700 the quantity demanded is 4500
per month. When there is a decrease of $50 in the unit price, the quantity
demand increases by 250 units. When the price is $100 or less, retailers are not
willing to sell any designer bags; at a price of $600 they are willing to sell as
much as 5500 designer bags per month. If it is assumed that the demand and
supply functions are linear.
i. Find the demand function
ii. Find the supply function
iii. Find the approximate equilibrium quantity and price
Transcribed Image Text:When the unit price of a designer bag is $700 the quantity demanded is 4500 per month. When there is a decrease of $50 in the unit price, the quantity demand increases by 250 units. When the price is $100 or less, retailers are not willing to sell any designer bags; at a price of $600 they are willing to sell as much as 5500 designer bags per month. If it is assumed that the demand and supply functions are linear. i. Find the demand function ii. Find the supply function iii. Find the approximate equilibrium quantity and price
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