Question

The profit p ( in hundreds of dollars ) that a company makes depends on the expenditure x ( in hundreds of dollars ) that the company spends advertising according to the model p(x) = -0.5x^2 +20x+230. What expenditure for advertising will yield maximum profit?

Answer 1

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000