The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model shown below.
P = 190 + 80x – 0.5x^2
What expenditure for advertising will yield a maximum profit?

Question

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model shown below.
P = 190 + 80x – 0.5x^2
What expenditure for advertising will yield a maximum profit?

anonymous · Answer

The maximum profit will be at the vertex. So use the vertex formula -b/2a

For your equation a=-.5 and b=80