Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

. 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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.