A total of 300,000 cy of sand needs to be hauled from a stack yard to a project

Question

A total of 300,000 cy of sand needs to be hauled from a stack yard to a project 30 miles from the yard. The company decided to rent one loader to do this work. The loader can load 150 cy of sand. The trucks to be used are 20cy trucks. The trucks will average 30mi/hr loaded and 40 mi/hr empty. Unloading sand takes 10 minutes. Assume 45 min/hr efficiency for the loading (unloading) and hauling operation. Assumer the truck rental at $160/hr, drivers at $70/hr, loader at $238/hr, loader operator at $100/hr. The swell factor of the sand is 25%. Determine the optimum number of trucks based on the minimum total cost for the following condition and find the total cost for this work.

Explanation / Answer

Sand 300000 Trucks 20 Loading and unloading 45 min per hour For 45 min per hour rate for 45 min Truck Rental per hour 160 0.75 120 Driver rate per hour 70 0.75 52.5 Loader rate per hr $238 0.75 178.5 Loader Operator per hr $100 0.75 75 Total Cost 426 Swell factor 375000 300000*125/100 This will be exacavated For 3750000 the cost per unit 880.2817 No. Of truckks 2500 2000/300000*375000

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