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Suppose the revenue R, in thousands of dollars, from producing and selling x hundred LCD TVs is given by R(x) = −5x^3 + 35x^2 + 155x for 0 ≤ x ≤ 10.07.

30. Assume that the cost, in thousands of dollars, to produce x hundred LCD TVs is given by C(x) = 200x + 25 for x ≥ 0. Find and simplify an expression for the profit function P(x). (Remember: Profit = Revenue - Cost.)

Answer: P(x) = R(x) − C(x) = −5x^3 + 35x^2 − 45x − 25, 0 ≤ x ≤ 10.07.

Respuesta :

MrRoyal

The profit function is P(x) = −5x^3 + 35x^2 - 45x - 25 for 0 ≤ x ≤ 10.07.

How to determine the profit function?

The given parameters are:

R(x) = for 0 ≤ x ≤ 10.07.

C(x) = 200x + 25 for x ≥ 0.

The profit is calculated using:

P(x) = R(x) - C(x)

So, we have:

P(x) = −5x^3 + 35x^2 + 155x - 200x - 25

Evaluate the like terms

P(x) = −5x^3 + 35x^2 - 45x - 25

Hence, the profit function is P(x) = −5x^3 + 35x^2 - 45x - 25 for 0 ≤ x ≤ 10.07.

Read more about profit function at:https://brainly.com/question/10009899

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