Phone, it can expect to sell 1,000-2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.

Answer the 2 questions below.

a) What are the X-Intercepts and what do they mean in this situation?

b) At what price should the company sell their phones to get the maximum revenue? Explain your reasoning

Step-by-step explanation:

The x intercepts are 0 and

1000 - 2x = 0              given condition

1000 = 2x                   Divide by 2

500 = x

So the two intercepts are 0,0 and 500,0

The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.

The answer to the B part is completing the square.

r(x) = - 2x^2 + 1000x

r(x) = -2(x^2 - 500x )

1/2 ( 500) = 250

250^2 is what you put inside the bracket's to complete the square.

r(x) =  - 2(x^2 - 500x + 250^2) + 2*250^2

r(x) = -2(x - 250)^2 + 2*62500

r(x) = - 2(x - 250)^2 + 125000

They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.

1/5x+9 2/5y+7

step-by-step explanation: