10:57 AM Thu Oct 28 webassign.net 4. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPCALCBR10 4.4.069.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER World Population The total world population is forecast to be P(t) = 0.00067+3 - 0.071t2 + 0.84t + 6.04 (0 t = 10) in year t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. (a) World population is forecast to peak in what year? Hint: Use the quadratic formula. (Remember that t is in decades and not in years. Round your answer down to the nearest year.) 2038 X (b) At what number will the population peak? (Be sure to use the value of t found in part (a). Round your answer to two decimal places.) billion Need Help? Watch It 5. [-/1 Points] DETAILS TANAPCALCBR10 4.4.048.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 300 + 9x + 0.0002x2. Each racket can be sold at a price of p dollars, where p is related to x M by the demand equation p = 12 - 0.0003x. If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint: The revenue is R(x) = px, and the profit is P (x ) = R(x) - C(x). rackets Need Help? Watch It E 6. [-/1 Points] DETAILS TANAPCALCBR10 4.5.019.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Optimal Chapter-Flight Fare If exactly 202 people sign up for a charter flight, Leisure World Travel Agency charges $282/person. However, if more than 202 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 202. Show that the revenue function R is given by R (x ) = (202 + x) (282 - x). passengers What is the maximum revenue? y What would be the fare per passenger in this case? dollars per passenger Z Need Help? Watch It abc