Score: 0 of 1 pt 10 of 10 (7 complete) HW Score: 3596, 3: 3.5.35 Question He Sup

Question

Score: 0 of 1 pt 10 of 10 (7 complete) HW Score: 3596, 3: 3.5.35 Question He 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)- -2p +4,000p (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $400,000? (a) At what prices p is revenue zero? The revenue equals zero when p is s 2000 (Use a comma to separate answers, but do not use commas in any individual numbers,) Enter your answer in the answer box and then click Check Answer Clear All part emaining 0 Type here to search

Explanation / Answer

a)

R(p) = 0

-2p² +4000p =0

-2p(p -2000) =0

p= 0, 2000

b)

-2p² +4000p >400000

-p² +2000p >200000

p² -2000p +200000 <0

Use quadratic formula to obtain

1000 -4005 < p < 1000+4005

105.573 <p <1894.427 [ rounded to three decimal]

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