SOLUTION: Suppose that the manufacturer of a DVD player has found​ that, when the unit price is p​ dollars, the revenue R​ (in dollars) as a function of the price p is
R(
Algebra.Com
Question 1109607: Suppose that the manufacturer of a DVD player has found that, when the unit price is p dollars, the revenue R (in dollars) as a function of the price p is
R(p)=-2.5p^2+850p
(a) For what price will the revenue be maximized?
(b) What is the maximum revenue?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
R=-2.5p^2+850 p
This is a quadratic where the vertex is the maximum value.
vertex p value is -b/2a=-850/-2.5*2=+170 so $170 is price at maximum revenue
R=-2.5*170^2+850*170
=-72250+144500
=$72,250
RELATED QUESTIONS
suppose that the manufacturer of a dvd player has found that, when the unit price is p... (answered by josmiceli)
suppose that the manufacturer of a dvd player has found that, when the unit price is p... (answered by ikleyn)
Suppose that the manufacturer of a gas clothes dryer has found that, when the unit (answered by josmiceli)
Solve the problem.
The manufacturer of a CD player has found that the revenue R (in... (answered by stanbon,josgarithmetic)
Maximizing Revenue Suppose that the manufacturer of a gas clothes dryer has found that,... (answered by rapaljer)
Manufacturer of a clothes dryer has found that, when the unit price is p dollars, the... (answered by scott8148)
(Revenue) The John Deere company has found that the revenue from sales of heavy-duty... (answered by stanbon)
i need help solving this problem
the manufacturer of a CD player has found that the... (answered by CubeyThePenguin)
The car company has found that the revenue from sales of sedans is a function of the unit (answered by Alex.33,ikleyn)