Suppose that the manufacturer of a gas clothes dryer has found that when the uni

Question

Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p dollars, the revenue R (in dollars) is R(p) =-5p4 10,000p (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $1,000,000? (a) At what prices p is revenue zero? The revenue equals zero when p is S 0,2000 (Use a comma to separate answers, but do not use commas in any individual numbers.) (b) For what range of prices will revenue exceed $1,000,000? Type your answer in interval notation. Round to the nearest cent as needed.)

Explanation / Answer

R(p) = -5p^2 + 10000p

plugging R(p) = 0

0 = -5p^2 + 10000 p

-5p ( p - 2000) = 0

p=0

p = 2000

the revenue equals zero when p is $ 0,2000

b) -5p^2 + 10000 p > 1000000

-5p^2 + 10000 p - 1000000 > 0

105.6 < p < 1894.4

so, (105.6 , 1894.4 )

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