SOLUTION: Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be so

Question 57210: Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit?
This is a parabolic function that opens down, its highest point is it's vertex. This parabolic function is in standard form: . To find the x value of the vertex, use the formula:
In your case, a=-2, b=280, and c=1000
The number of items that should be sold to maximize the profit is:

Happy Calculating!!!
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