Question

The cost to produce x units of wire is C=30x +500, while the revenue is R = 40x. Find the interval where the product will at least break even.​

Answer 1

The break even point is the point where the cost and the revenue are equal

The break even point is at x = 50

How to determine the break even interval

The functions are given as:

C(x) = 30x + 500 --- cost function

R(x) = 40x ---- revenue function

At the break even, we have:

R(x) = C(x)

So, the equation becomes

40x = 30x + 500

Subtract 30x from both sides

10x = 500

Divide both sides by 10

x = 50

Hence, the break even point is at x = 50

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