# Benjamins Backpacks can sell backpacks for \$25 per backpack. The costs for making the backpacks are a fixed cost of

## Question:

Benjamin€™s Backpacks can sell backpacks for \$25 per backpack. The costs for making the backpacks are a fixed cost of \$400 and a production cost of \$15 per backpack.

(a) Write the cost and revenue equations.

(b) Graph both equations, for up to and including 50 back-packs, on the same axes.

(c) Use the graph to estimate the number of backpacks Benjamin€™s Backpacks must sell to break even.

(d) Write the profit formula.

(e) Use the profit formula to determine whether Benjamin€™s Backpacks makes a profit or loss if it sells 30 back-packs. What is the profit or loss?

(f)  How many backpacks must Benjamin€™s Backpacks sell to make a profit of \$1000?

Part of the question involves determining a system of equations that models the situation.

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Related Book For

## A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

Question Details
Chapter # 6- Algebra, Graphs, and Functions
Section: Section 6.7
Problem: 51
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