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6. [-/3 Points] DETAILS TANAPMATH7 10.5.021. MY NOTES ASK YOUR TEACHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000
6. [-/3 Points] DETAILS TANAPMATH7 10.5.021. MY NOTES ASK YOUR TEACHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $592/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $4 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. passengers What is the maximum revenue? What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) dollars per passenger 7. [-/2 Points] DETAILS TANAPMATH7 10.2.034.MI. MY NOTES ASK YOUR TEACHER Determine where the function is concave upward and here it is concave downward. (Enter your answers using interval notation.) ((x) = 3x4 - 30x3 + x - 5 concave upward concave downward 8. [-/2 Points] DETAILS TANAPMATH7 10.4.018.MI. MY NOTES ASK YOUR TEACHER Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) (x) = -x2 + 10x + 4 on [7, 10] maximum minimum 9. [-/2 Points] DETAILS TANAPMATH7 10.1.065. MY NOTES ASK YOUR TEACHER Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) ((x) = x3 - 12x + 5 relative maximum (x, y) = relative minimum (x, y) = ( 10. [-/2 Points] DETAILS TANAPMATH7 10.3.028. MY NOTES ASK YOUR TEACHER Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) ((x) = x4 - x x( x - 1) (x + 7 ) horizontal asymptote y = vertical asymptote
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