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

Mathematics

Aylin

9 April, 08:55

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?

+4

Answers (1)

Know the Answer?

Hailey Holmes · Answer 1

The profit:

P = - 0.5 x² + 80 x + 190

The maximum profit will be at the vertex:

x = - b / 2 a = - 80 : (2 * ( - 0.5)) = - 80 : ( - 1) = 80 (in hundreds of dollars)

Answer:

The amount of money that will yield a maximum profit is $8,000.

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^2What expenditure for advertising will yield a maximum profit?

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?