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Ann [662]
3 years ago
11

A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is mod

eled by the function R(x)=5.6x.
How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

18162 widgets

Step-by-step explanation:

Given

C(x)=0.92x+85000

R(x)=5.6x.

Required

Determine the price at break even point

At breakeven point, the following relationship exists

Rx = C(x)

Substitute values for R(x) and C(x)

5.6x = 0.92x +85000

Collect Like Terms

5.6x - 0.92x =85000

4.68x =85000

Make x the subject

x = \frac{85000}{4.68}

x = 18162.3931624

x = 18162 --- <em>Approximated</em>

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