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) = -2p^2 + 4,000p. (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $400,000?

Name: 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 rp2p24000p a at what prices p is revenue zero b for what rang 86266
Uploaded: 2023-06-15T22:54:15-08:00
Duration: 3 min 19 s
Channel: Supreeta N
Description: 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 rp2p24000p a at what prices p is revenue zero b for what rang 86266

          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^2 + 4,000p.
(a) At what prices p is revenue zero?
(b) For what range of prices will revenue exceed $400,000?

Added by David G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

06/15/2023

Step 1

So, we have: 0 = -2p^2 + 4000p Now, let's factor out a p: 0 = p(-2p + 4000) So, either p = 0 or -2p + 4000 = 0. Solving for p in the second equation, we get: 2p = 4000 p = 2000 So, the revenue is zero when p is $0 or $2000. (b) For what range of prices will Show more…

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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^2 + 4,000p. (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $400,000?