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Mathematics, 27.04.2021 14:40 webbjalia04

Your company can deliver its products using either leased trucks or a courier service. You do not know in advance the exact number of orders you will need to deliver, but in the past it has followed the following pattern: Number of Orders to Deliver Percent of the Time 15 5% 16 7% 17 9% 18 10% 19 13% 20 14% 21 13% 22 11% 23 8% 24 6% 25 4% Each leased truck has a 94% chance, independent of all other trucks, of being serviceable on any given day, in which case it can deliver up to 5 orders at a cost of $20 per order. If a truck is not serviceable, it cannot deliver any orders. Each truck also costs $80 per day to lease, but the charge in only levied on the days it is serviceable. Orders not delivered by leased truck are delivered by courier at a cost of $95 each. How many trucks should you lease in order to minimize your average total daily leasing and delivery cost? Simulate 3, 4, 5, and 6 trucks. With the optimal number of trucks, what is the average number of orders per day that have to be shipped by courier?

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