Question
Williams Commuter Air Service realizes a monthly revenue of $$8000 x-100 x^{2} \quad(0 \leq x \leq 80)$$ dollars when the price charged per passenger is $x$ dollars. Factor the expression.
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In this case, the common factors are 100 and x. Show more…
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Williams Commuter Air Service realizes a monthly revenue of $$ \begin{array}{l} \quad R(x)=8000 x-100 x^{2} \end{array} $$ dollars when the price charged per passenger is $x$ dollars. a. Find the marginal revenue $R^{\prime}$. b. Compute $R^{\prime}(39), R^{\prime}(40),$ and $R^{\prime}(41)$ c. Based on the results of part (b), what price should the airline charge in order to maximize their revenue?
Differentiation
Marginal Functions in Economics
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) = 4400x - 110x^2 (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 should the airline charge in order to maximize their revenue? $
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