 Business
6 September, 11:16

# Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are \$7000 per month. Materials and labor for each helmet of this model are \$25, and the company sells this helmet to dealers for \$50 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.)Required:(a) For this helmet, write the function for monthly total costs C (x).(b) Write the function for total revenue R (x). (c) Write the function for profit P (x).

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Answers (1)
1. 6 September, 12:46
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C (x) = \$ (7000+25x)

R (x) = \$ (50x)

P (x) = \$ (25x-7000)

Explanation:

Let x represent the number of helmets sold.

The fixed costs for one model of helmet are \$7000 per month

Materials and labor for each helmet of this model are \$25

(A) Monthly total costs C (x).

Monthly Total Cost, C (x) = Fixed Cost + Variable Cost

Fixed Cost=\$7000

Variable Cost=\$25 X number of helmets produced = \$25x

Therefore, C (x) = \$ (7000+25x)

(B) Total Revenue, R (x)

Selling Price Per Helmet = \$50

Total Revenue = Selling Price Per Unit X Number of Units Sold = \$50x

Therefore: R (x) = 50x

(C) Profit, P (x)

Profit=Selling Price - Cost Price

=Total Revenue-Monthly total costs = R (x) - C (x) = 50x - (7000+25x) = \$ (25x-7000)

Therefore: P (x) = \$ (25x-7000)
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