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8. The Computer Shop sells computers. The shop has a fixed the shop has a fixed cost of $1500 per
week. Its average cost per computer is $649 each, and the average selling price is
$899 each.
a. Write the linear cost function
b. Write the linear revenue function
I
c. Find the cost of selling 37 computers per week
d. Find the revenue from selling 37 computers
e. Find the break-even point.

Respuesta :

The linear cost function of the computer shop in this scenario will be C(x) = 649x + 1500.

How to calculate the functions?

From the information, the linear cost function is C(x) = 649x + 1500 and the linear revenue function will be R(x) = 899x.

The cost of selling 37 computers will be:

C(x) = 649x + 1500

C(x) = 649(37) + 1500

C = 25513

The revenue from selling 37 computers will be:

R(x) = 899x.

R = 899(37)

R = 33263

The breakeven point will be:

649x + 1500 = 899x

899x - 649x = 1500.

250x = 1500

x = 1500/250

x = 6

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