Question 2) 3 marks A major airline purchases a particular type of plane at a cost of $40,000,000. The company estimates that the average capital cost and average operating costs are a function of x, the number of hours of flight time. The salvage value of a plane (in dollars) is expressed by the function. S(x) = 36,000,000 - 10,000x Average operating cost, stated in dollars per hour of flight time, is estimated by the function. O(x) = 500 + 0.40x a) Determine how many hours a plane should be flown before replacement if the objective is to minimize the sum of average capital cost and average operating cost per hour. b) What is the minimum cost per unit? c) What is the salvage value expected to equal? Question 3 4 marks A new airport is being planned to service four metropolitan areas. The relative locations of the metropolitan areas on a set of coordinate axes are (20, 5), (0, 30), (-30, 10) and (-5, -5), where the coordinates are stated in miles. Determine the airport location (x, y) which minimizes the sum of the squares of the distances from the airport to each metropolitan area.
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X = 20.5 Y = 30 Z = -30 Show more…
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