Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C(x) = x + 4.

Question

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C(x) = x + 4.
Find the profit function. Show all work and give the profit function.

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Amara 9 hours 2021-09-14T02:04:42+00:00 1 Answer 0

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    2021-09-14T02:06:37+00:00

    Answer:

    Step-by-step explanation:

    Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars.

    R(x) = -x^2 + 6x,\\ C(x) = x + 4.

    Profit function = Revenue  – cost

    So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

    Profit function of x

    = Pr(x) = R(x) -C(x)\\= -x^2+6x-x-4\\=-x^2+5x-4

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