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A local club is arranging a charter flight to Hawaii. The cost of the trip is $583 each for 80 passengers, with a refund of

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A local club is arranging a charter flight to Hawaii. The cost of the trip is $583 each for 80 passengers, with a refund of $5 per passenger for each passenger in excess of 80. a. Find the number of passengers that will maximize the revenue received from the flight. b. Find the maximum revenue. . . . a. The number of passengers that will maximize the revenue received from the flight is (Round to the nearest integer as needed.) b. The maximum revenue is $Find the maximum sustainable harvest of the given function. f(S) = 48s0.25 ", where S is measured in thousands The maximum sustainable harvest is approximately thousand. (Do not round until the final answer. Then round to the nearest thousandth as needed.)m Suppose that a demand function is linear, that is, q = m - np for Ops -, where m and n are positive constants. Show that E = 1 at the midpoint of the demand curve on the interval 0 s p s m m that is, at p = (2n) OC. E= _ P dq q dp dq O D. E= - P .- dp Take the derivative of q in terms of p for q = m - np. dq dp m dq Use q = m - np, p= (2n). and the value for " to rewrite the formula for E in terms of n and m only. E = _ b dq a dp E= - E = ] Simplify the expression in the previous step

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