20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced, and g(x) = 150-0.001x² m

Question

20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,
and g(x) = 150-0.001x² models the service cost per item. Write a function C(x) for the total manufacturing and
service cost per item.​

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Julia 1 month 2021-10-16T17:33:01+00:00 1 Answer 0 views 0

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    2021-10-16T17:34:27+00:00

    Answer:

    Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

       P(x) = R(x) – C(x)

    If we are to substitute the given expression for each of the terms, we have, 

      P(x) = x(S(x)) – C(x)

    Substituting,

      P(x) = x(30 – 0.01x) – (0.15x³ + 0.01x² + 2x + 120)

    Simplifying,

      P(x) = 30x – 0.01x² – 0.15x³ – 0.01x² – 2x – 120

    Combining like terms,

      P(x) = -0.15x³ – 0.02x² + 28x – 120

    The answer to this item is the second among the choice, number 2. 

    Read more on Brainly.com – https://brainly.com/question/6037945#readmore

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