SOLUTION: A company determines that its daily revenue R(in dollars) for selling X items is modeled by the equation R=x(150-x). How many items must be sold for its revenue to be $4400?

Question 1024820: A company determines that its daily revenue R(in dollars) for selling X items is modeled by the equation R=x(150-x). How many items must be sold for its revenue to be $4400?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
equation becomes 4400 = x * (150 - x)

simplify to get 4400 = 150x - x^2

add x^2 to both sides of the equation and subtract 150x from both sides of the equation to get x^2 - 150x + 4400 = 0

factor this equation to get x = 40 or x = 110.

x can be equal to 40 or x can be equal to 110.

when x = 40, the equation becomes 4400 = 40 * (150 - 40) which becomes 4400 = 4400.

when x = 110, the equation becomes 4400 = 110 * (150 - 110) which becomes 4400 = 4400.

so the company either sells 40 items at 110 apiece, or the company sells 110 items at 40 apiece to get a revenue of 4400.

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