Question

The price–demand equation for 8,000-BTU window

air conditioners is given by

p 0.0004x2 x -

569 0 x 800

where x is the number of air conditioners that can be sold at a price

of p dollars each.

(A) Find the revenue function.

(B) Find the number of air conditioners that must be sold to maxi-

mize the revenue, the corresponding price to the nearest dollar, and

the maximum revenue to the nearest dollar.​

Answer 1

Step-by-step explanation:

The price–demand equation for 8,000-BTU window

air conditioners is given by

p 0.0004x2 x -

569 0 x 800

where x is the number of air conditioners that can be sold at a price

of p dollars each.

(A) Find the revenue function.

(B) Find the number of air conditioners that must be sold to maxi-

mize the revenue, the corresponding price to the nearest dollar, and

the maximum revenue to the nearest dollar