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Question: A company does business in a square state (1,000 miles on a side) with four stores located at the…

by | Nov 30, 2023 | Posted Questions



Question: A company does business in a square state (1,000 miles on a side) with four stores located at the...

Show transcribed image text A company does business in a square state (1,000 miles on a side) with four stores located at the coordinates shown below. The company needs to build a distribution center to support these stores and wants to locate it to minimize transportation cost that it estimates to be $0.02 per ton-mile. Management has a secondary goal of minimizing the transport time for any produce hauled since produce becomes bruised and looses $18.25/ton in value for every hour that it is in transit for greater than 12 hours. Assume that trucks travel at a speed of 50 mph. Determine: (a) To minimize transportation cost, where should the warehouse be located? (Ans: 551E, 474N) (b) To minimize loss of produce revenues, where should the warehouse be located? (Ans: 655E, 455N) (c) Which of the two above locations (a or b) is the better financially for the company? Why?

A company does business in a square state (1,000 miles on a side) with four stores located at the coordinates shown below. The company needs to build a distribution center to support these stores and wants to locate it to minimize transportation cost that it estimates to be $0.02 per ton-mile. Management has a secondary goal of minimizing the transport time for any produce hauled since produce becomes bruised and looses $18.25/ton in value for every hour that it is in transit for greater than 12 hours. Assume that trucks travel at a speed of 50 mph. Determine: (a) To minimize transportation cost, where should the warehouse be located? (Ans: 551E, 474N) (b) To minimize loss of produce revenues, where should the warehouse be located? (Ans: 655E, 455N) (c) Which of the two above locations (a or b) is the better financially for the company? Why?

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