Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartment units is given by the following function. P(x) = -10x2+ 1,740x - 49,000 To maximize the monthly rental profit, how many units should be rented out? units What is the maximum monthly profit (in dollars) realizable? $ Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). Find the maximum altitude (in ft) attained by the rocket. (Round your answer to the nearest foot.) - -+3 + 2t2 + 12t + 25 (t 2 0) ft Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the function below. A(t) = 0.18te-0.4t (0 s t s 12) At how long (in hr) after drinking the alcohol is the percentage of alcohol in the person's bloodstream at its highest level? (Round your answer to two decimal places.) t = What is the level (in %)? (Round your answer to three decimal places.) .. . Minimizing Construction Costs The management of the UNICO department store has decided to enclose a 913 ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. If the pine board fencing costs $7/running foot and the steel fencing costs $4/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.) STORE Wood Steel Wood wood side ft steel side ft Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 130 in.>, and is constructed using the least amount of material? (Round your answers to two decimal places.) Need Help? Read Master [-/2.5 Points] DETAILS TANAPMATH7 10.5.021 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $800/person/day cruise, then each fare is reduced by $8 for each additi Need Help? mark Assuming at least 20 people sign up for the cruise, dete pers will result in the ma revenue for the passengers What is the maximum revenue? . [-/2.5 Points] DETAILS TANAPMATH? 10.5.011.MI. What would be the fare/passenger in this case? (Rou MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER dollars per passenger nimizing Packaging Costs A rectangular box is to have a square base and a volume of 72 ft. If the material for the base costs $0.39/At the material for the sides costs $0.12/#, and the material for the top costs $0.25/ft, determine the dimen Need Help? And (in f) of the box that can be constructed at minimum cost. (Refer to the figure below.) ubmit Assignment Save Assignment Progress Home My Assignments Request Extension
