SOLUTION: The price p and quantity x sold of a small flat screen television set obeys the demand equation below. p= - .18x+288 a. How much should be charged for the television set if

Algebra ->  Functions -> SOLUTION: The price p and quantity x sold of a small flat screen television set obeys the demand equation below. p= - .18x+288 a. How much should be charged for the television set if      Log On


   



Question 920520: The price p and quantity x sold of a small flat screen television set obeys the demand equation below.
p= - .18x+288
a. How much should be charged for the television set if there are 50 television sets in stock? Round to nearest cent
b. What quantity x will maximize revenue? What is the maximum revenue?
c. What price should be charged in order to maximize revenue?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p= -.18x+288
a) p= -.18(50)+288 = $279
b)
R = px
R = .18x^2 + 288x
R = -.18(x-800)^2 + $115,200
|Note: -288%2F%28-.36%29+=+800and -%28800%29%5E2%2F%28-.18%29+=+11520
x = 800 will maximize revenue at $115,200
c) p = -.18(800)+288 = $144