A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $100 to set up his booth. Furthermore, the vendor’s average cost for each product he produces is approximately $0.75. a. Write a linear cost function representing the cost C(x) (in $) to the vendor to produce x products. b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products. c. Determine the number of products to be produced and sold for the vendor to break even. d. If 60 products are sold, will the vendor make money or lose money?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $100 to set up his booth. Furthermore, the vendor’s average cost for each product he produces is approximately $0.75.

a. Write a linear cost function representing the cost C(x) (in $) to the vendor to produce x products.

b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products.

c. Determine the number of products to be produced and sold for the vendor to break even.

d. If 60 products are sold, will the vendor make money or lose money?

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