Question

If total costs are C(x)=500+440x and total revenues are R(x)=500x−x2, find the break-even points. (Enter your answers as a comma-separated list.) x= [-/1 Points] HARMATHAP12 2.3.006. comma-separated list.) x= units

Answer 1

To find the break-even points, set the total revenue equal to the total cost and solve for x. The break-even points occur at x = 20 and x = 25.

Step-by-step explanation:

To find the break-even points, we need to set the total revenue equal to the total cost and solve for x.

Given C(x) = 500 + 440x and R(x) = 500x - x^2, we have:

500 + 440x = 500x - x^2

Arranging the equation in standard form:

x^2 - 40x + 500 = 0

Using the quadratic formula or factoring, we find two solutions for x: x = 20 and x = 25.

Therefore, the break-even points occur at x = 20 and x = 25.