$[-/5$ Points$]$

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.

$R(x)=9,600x-120x^2$

$($a$)$ Find the marginal revenue $R^{\text{'}}(x).$

$R^{\text{'}}(x)=$

$($b$)$ Compute the following values.

$R^{\text{'}}(39)=$

$R^{\text{'}}(40)=$

$R^{\text{'}}(41)=$

$($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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