The function C(x) = 400x – 0.2×2 represents the total costs for a company to produce a product, where C is the total cost in dollars and x i

Question

The function C(x) = 400x – 0.2×2 represents the total costs for a company to produce a product, where C is the total cost in dollars and x is the number of units sold. Which statement is true?

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Serenity 2 weeks 2021-09-09T00:14:50+00:00 1 Answer 0

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    2021-09-09T00:16:42+00:00

    Answer:

    To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.

                                      C(x) = 400x – 0.2x²

                                  dC(x) / dt = 400 – 0.4 x = 0 

    The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,

                                  C(x) = (400)(1000) – 0.2(1000²) = $ 200,000

    Thus, the answer is letter B. 

    Step-by-step explanation:

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