SOLUTION: The total revenue R earned (in thousands of dollars) from manufacturing handheld video game systems is given by R(p) = −22p2 + 1,100p, where p is the price per unit (in dolla

Algebra ->  Trigonometry-basics -> SOLUTION: The total revenue R earned (in thousands of dollars) from manufacturing handheld video game systems is given by R(p) = −22p2 + 1,100p, where p is the price per unit (in dolla      Log On


   



Question 1202989: The total revenue R earned (in thousands of dollars) from manufacturing handheld video game systems is given by
R(p) = −22p2 + 1,100p,
where p is the price per unit (in dollars). Find the unit price (in dollars) that yields a maximum revenue.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Note: Use "^" (shift-6) to denote exponentiation: R(p)=-22p^2+1100p

The function is quadratic; its graph is a parabola opening down.

The maximum value of a quadratic ax^2+bx+c with negative leading coefficient is when x = -b/(2a). In this example,

-b%2F%282a%29=-1100%2F-44=25

ANSWER: The unit price that maximizes revenue is $25.