Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

. A mathematical organization publishes a math journal each month. Suppose that the function C(x) = 6x² + 20x represents the estimated monthly cost, and R(x) = –0.4x³ + 38x²– 25x + 150 represents the estimated monthly revenue, where x is in hundreds of subscribers. The profit is the difference between the revenue and the cost.What is the profit function, P(x)

Sagot :

SOLUTION:

Case: Polynomials (Cost and Revenue)

Given:

Monthly cost

C(x) = 6x² + 20x

Monthly revenue

R(x) = –0.4x³ + 38x²– 25x + 150

Required: What is the profit function, P(x)

Method:

The profit is the difference between the revenue and the cost.

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

P(x)= (–0.4x³ + 38x²– 25x + 150) - (6x² + 20x)

P(x)= –0.4x³+(38x² - 6x²)+(– 25x- 20x) + 150

P(x)= –0.4x³ + 32x² - 45x + 150

Final answer:

The expression for the profit function, P(x) is:

P(x)= –0.4x³ + 32x² - 45x + 150

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.