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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 modeled 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.

Respuesta :

MrRoyal

Answer:

18162 widgets

Step-by-step explanation:

Given

[tex]C(x)=0.92x+85000[/tex]

[tex]R(x)=5.6x.[/tex]

Required

Determine the price at break even point

At breakeven point, the following relationship exists

[tex]Rx = C(x)[/tex]

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

[tex]5.6x = 0.92x +85000[/tex]

Collect Like Terms

[tex]5.6x - 0.92x =85000[/tex]

[tex]4.68x =85000[/tex]

Make x the subject

[tex]x = \frac{85000}{4.68}[/tex]

[tex]x = 18162.3931624[/tex]

[tex]x = 18162[/tex] --- Approximated

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