R(x) = 4,000x- -100x² Find the marginal revenue R'(x). R'(x) = Compute the following values. R (19) R (20) = R (21) = Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Ex 3.4 Q4

Marginal Revenus of a Commuter Air Service Williams Commuter Air Service realizes a monthly revenue represented by the following function, where R(x) is measured in dollars and the price charged per passenger is x dollars.
R(x) = 4,000x100x²
(a) Find the marginal revenue R'(x).
R'(x) =
(b) Compute the following values.
R(19) =
R(20) =
R (21) =
(c) Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue?
$
Transcribed Image Text:Marginal Revenus of a Commuter Air Service Williams Commuter Air Service realizes a monthly revenue represented by the following function, where R(x) is measured in dollars and the price charged per passenger is x dollars. R(x) = 4,000x100x² (a) Find the marginal revenue R'(x). R'(x) = (b) Compute the following values. R(19) = R(20) = R (21) = (c) Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue? $
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