SOLUTION: The quarterly profit of Cunningham Realty depends on the amount of money x spent on advertising/quarter according to the rule {{{P(x)= -1/8x^2 + 7x +30 (0 <or equal to x <or eq

Algebra ->  Inverses -> SOLUTION: The quarterly profit of Cunningham Realty depends on the amount of money x spent on advertising/quarter according to the rule {{{P(x)= -1/8x^2 + 7x +30 (0 <or equal to x <or eq      Log On


   

Question 215916: The quarterly profit of Cunningham Realty depends on the amount of money x spent on advertising/quarter according to the rule
P%28x%29=+-1%2F8x%5E2+%2B+7x+%2B30++%280+%3Cor+equal+to+x+%3Cor+equal+to+50%29
where P(x) and x are measured in thousands of dollars. What is Cunningham's profit when it's quarterly advertising budget is 28,000 ?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The quarterly profit of Cunningham Realty depends on the amount of money x spent on advertising/quarter according to the rule
P%28x%29=+%28-1%2F8%29x%5E2+%2B+7x+%2B30++
(0 where P(x) and x are measured in thousands of dollars. What is Cunningham's profit when it's quarterly advertising budget is 28,000 ?
.
So,
x = 28
Simply plug it the given value of x into the equation and solve:
P%2828%29=+%28-1%2F8%2928%5E2+%2B+7%2828%29+%2B30++
P%2828%29=+%28-1%2F8%29784+%2B+196+%2B30++
P%2828%29=+-98+%2B+196+%2B30++
P%2828%29=+128++
So, profit is $128,000