contestada

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.​

Respuesta :

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

Step-by-step explanation:

Otras preguntas