Printing A printer has a contract to run 20,000 postersfor a state fair. He can use any number of plates from1 to 8 to run the posters; each stamp of the press willproduce as many posters as there are plates. The costof printing all the posters is given byC(x) = 200 + 20x +180x , where x is the numberof plates.a. Combine the terms of this function over a common denominator to create a rational function.b. Use numerical or graphical methods to find thenumber of plates that will make the cost $336.c. How many plates should the printer create to produce the posters at the minimum cost?
Printing A printer has a contract to run 20,000 postersfor a state fair. He can use any number of plates from1 to 8 to run the posters; each stamp of the press willproduce as many posters as there are plates. The costof printing all the posters is given byC(x) = 200 + 20x +180x , where x is the numberof plates.a. Combine the terms of this function over a common denominator to create a rational function.b. Use numerical or graphical methods to find thenumber of plates that will make the cost $336.c. How many plates should the printer create to produce the posters at the minimum cost?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26SGR
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Question
Printing A printer has a contract to run 20,000 posters
for a state fair. He can use any number of plates from
1 to 8 to run the posters; each stamp of the press will
produce as many posters as there are plates. The cost
of printing all the posters is given by
C(x) = 200 + 20x +180
x , where x is the number
of plates.
a. Combine the terms of this
b. Use numerical or graphical methods to find the
number of plates that will make the cost $336.
c. How many plates should the printer create to produce the posters at the minimum cost?
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