An important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Exercises 97–98 involve supply and demand. 97. A chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows: Number sold Demand model per week N = -5p + 750 Price of television Number supplied to the chain per week N = 2.5p. 1apow hjddns a. How many hand-held color televisions can be sold and supplied at $120 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 42E
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An important application of systems of equations arises in
connection with supply and demand. As the price of a product
increases, the demand for that product decreases. However, at
higher prices, suppliers are willing to produce greater quantities of
the product. Exercises 97–98 involve supply and demand.
97. A chain of electronics stores sells hand-held color
televisions. The weekly demand and supply models are
given as follows:
Number sold
Demand model
per week
N = -5p + 750
Price of television
Number supplied to
the chain per week N = 2.5p.
1apow hjddns
a. How many hand-held color televisions can be sold and
supplied at $120 per television?
b. Find the price at which supply and demand are equal. At
this price, how many televisions can be supplied and sold
each week?
Transcribed Image Text:An important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Exercises 97–98 involve supply and demand. 97. A chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows: Number sold Demand model per week N = -5p + 750 Price of television Number supplied to the chain per week N = 2.5p. 1apow hjddns a. How many hand-held color televisions can be sold and supplied at $120 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?
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