Question

Williams Commuter Air Service realizes a monthly revenue represented by the following function, where R(x) is...

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) = 6,000x − 100x2

(a)

Find the marginal revenue R'(x).

R'(x) =

(b)

Compute the following values.

R'(29) =
R'(30) =
R'(31) =

(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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