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Lemur [1.5K]
3 years ago
7

Given the cost function C(x) = 0.81x + 60, 420 and the revenue function R(x) = 1.87x, find the break-even point

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

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Step-by-step explanation:

<u>Step 1:</u>

<em>Equation should be:</em>

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<u>Step 2:</u>

<em>Equation should be:</em>

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<u>Step 3:</u>

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<em>Step 1</em>:

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<em>Step 2:</em>

  • Find two factors of  -39  whose sum equals the coefficient of the middle term, which is 18 .
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<u>Solution:</u>

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