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OPTIMAL CHARTER-FLIGHT FARE If exactly 200 people sign up for a charter flight, Leisure World Travel Agency charges $300/person. However, if more than 200 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. What is the maximum revenue? What would be the fare per passenger in this case? Hint: Let x denote the number of passengers above 200. Show that the revenue function R is given by R(x) = (200 + x)(300 - x).
A ball is thrown straight down from the top of a 350 foot building with an initial velocity of -20 feet per second. What is the instantaneous velocity after falling 85 feet?
two minor league baseball players got a total of 354 hits. washington had 10 more hits than sanchez. find the number of hits for each player.
The larger - the Gooch family- will pay three times the amount of the bachelor's share and twice the amount the couple will pay. How much will each party have to pay, and what percent of the house will they own?
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
Ben needs 550 grams of flour to bake two small loaves of bread. How many kilograms flour will he need for thirteen small loaves
rancher has feet of fencing to enclose a rectangular corral with a dividing fence parallel to one side. What dimensions will produce the largest total area?
A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholde..
What is the probability that a union member who had surgery was advised to do so by a second doctor?
decelerates at a constant 4 feet per second per second. How many feet does the car travel before coming to a complete stop?
Could the statement in the brochure be substantiated on the basis of these findings? Test with .05 significance level. Also calculate the P-value and interpret the result.
At what time is the particle at the farthest distance away from its starting position in the negative direction? (Round your answer to one decimal place.)
Prove that f is dierentiable at x = 0 and that f (0) = 0. Hint: Write down the limit you are trying to show to prove that the derivative at 0 exists.
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