SOLUTION: The profit, P, of a video company (in thousands of dollars), is given by P\left(x\right)=-5x^2+550x-5000, where x is the amount spent of advertising, in thousands of dollars. How

Algebra ->  Equations -> SOLUTION: The profit, P, of a video company (in thousands of dollars), is given by P\left(x\right)=-5x^2+550x-5000, where x is the amount spent of advertising, in thousands of dollars. How       Log On


   



Question 1152048: The profit, P, of a video company (in thousands of dollars), is given by P\left(x\right)=-5x^2+550x-5000, where x is the amount spent of advertising, in thousands of dollars.
How much should be spent on advertising to achieve a maximum profit?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
quadratic where p=-5x^2+550x-5500
x-value at vertex (maximum) is -b/2a or -550/-10=55
p(55)=-15125+30250-5000
=$10125 thousands
graph%28300%2C300%2C-20%2C70%2C-10000%2C20000%2C-5x%5E2%2B550x-5000%29