15. [0/3 Points] PREVIOUS ANSWERS TANAPCALC10 4.5.021 . PRACTICE ANOTHER Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $464/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. x passengers What is the maximum revenue? $_x What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) :] dollars per passenger Need Help? - TANAPCALC1 0 4.5.022. PRACTICE ANOTHER Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the rst 10600 bottles of wine produced this season will fetch a prot of $4 per bottle. However, the prot from each bottle beyond 10600 drops by $0.0003 for each additional bottle sold. 16. [-I2 Points] Assuming at least 10600 bottles of wine are produced and sold, what is the maximum prot? (Round your answer correct to the nearest cent.) $: What would be the prot/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.) $ Z Need Help? _ PRACTICE ANOTHER 17. [-I1 Points] TANAPCALC10 4.R.045. Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given by p = o,ooo3x2 + 40 where p denotes the unit price in dollars and x denotes the quantity demandedi The weekly total cost function associated with producing these discs is given by C(x) = o.oo1x2 + 11x + 4500 where C(x) denotes the total cost (in dollars) incurred in pressing x discs. Find the production level that will yield a maximum prot for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest integer.) Need Help? PRACTICE ANOTHER 18. [-I2 Points] TANAPCALC10 4.R.047. Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in manufacturing x units of its Professional Series guitars is given by the function C(x) = 0,002)(2 + 100x + 50000. (a) Find the average cost function E. a: (b) Determine the production level that will result in the smallest average production cost. x