Effect of Advertising on Hotel Revenue The total annual revenue R of a certain resort hotel is related to the amount of money x the hotel spends on advertising its services by the function R(x) = -0.004x³ + 2.7x2 + 6x + 7,000 (0 < x < 400) where both R and x are measured in thousands of dollars. (a) Find the interval where the graph of R is concave upward. (Enter your answer using interval notation.) Find the interval where the graph of R is concave downward. (Enter your answer using interval notation.) What is the inflection point of the graph of R? - (C (x, R(x)) = (b) Would it be more beneficial for the hotel to increase its advertising budget slightly when the budget is $215,000 or when it is $235,000? O $215,000 O $235,000
Effect of Advertising on Hotel Revenue The total annual revenue R of a certain resort hotel is related to the amount of money x the hotel spends on advertising its services by the function R(x) = -0.004x³ + 2.7x2 + 6x + 7,000 (0 < x < 400) where both R and x are measured in thousands of dollars. (a) Find the interval where the graph of R is concave upward. (Enter your answer using interval notation.) Find the interval where the graph of R is concave downward. (Enter your answer using interval notation.) What is the inflection point of the graph of R? - (C (x, R(x)) = (b) Would it be more beneficial for the hotel to increase its advertising budget slightly when the budget is $215,000 or when it is $235,000? O $215,000 O $235,000
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 69E
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