SOLUTION: Let x be the amount (in hundreds of dollars) a company spends on advertising, and let P be the Profit, where P = 230 + 20x- .5x^2. What expenditure for advertising results in the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let x be the amount (in hundreds of dollars) a company spends on advertising, and let P be the Profit, where P = 230 + 20x- .5x^2. What expenditure for advertising results in the       Log On


   



Question 360559: Let x be the amount (in hundreds of dollars) a company spends on advertising, and let P be the Profit, where P = 230 + 20x- .5x^2. What expenditure for advertising results in the maximum profit?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is quadratic whose graph is a parabola facing down, so it will have a maximum. The x-value giving the maximum P (profit)value is -b%2F%282a%29+=+-%2820%2F%282%2A%28-1%2F2%29%29%29+=+20. Therefore the company has to spend $2,000 to maximize profit.