Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $432/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 Need Help? Read It [-/2 Points] DETAILS TANAPCALC10 4.5.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10300 bottles of wine produced this season will fetch a profit of $4 per bottle. However, the profit from each bottle beyond 10300 drops by $0.0003 for each additional bottle sold. Assuming at least 10300 bottles of wine are produced and sold, what is the maximum profit? (Round your answer correct to the nearest cent.) $ What would be the profit/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.) $Optimal Chapter-Flight Fare If exactly 206 people sign up for a charter flight, Leisure World Travel Agency charges $306/person. However, if more than 206 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 206. Show that the revenue function R is given by R(x) = (206 + x) (306 - x). passengers What is the maximum revenue? $ What would be the fare per passenger in this case? dollars per passengerBook Design A book designer has decided that the pages of a book should have 1 in. margins at the top and bottom and - in. margins on the sides. She further stipulated that each 2 page should have an area of 32 in.(see the accompanying figure). Determine the page dimensions that will result in the maximum printed area on the page. - in.- 1 in. i X in V in Need Help? Read It Watch It /2 Points] DETAILS TANAPCALC10 4.5.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 41 in." and is constructed using the least amount of metal. (Round your answers to two decimal places.) radius in height inPackaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 15 in. long and 7 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.) smallest value in in largest value in Need Help? Read It Master It /3 Points] DETAILS TANAPCALC10 4.5.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Metal Fabrication If an open box is made from a tin sheet 12 in. square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.) height in length in width in