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Scenario 9.10 the Dolly Llama Farm Keeps an Average of 50 of 50

question 182

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Scenario 9.10
The Dolly Llama Farm keeps an average of 50 of those funny creatures on hand and each consumes a pound of grain a day, 365 days per year. Grain costs $12 for a 50 pound bag and it costs the farm $10 to make a run to the feed store to pick up an order, regardless of order size. It takes the feed store four days to acquire, mix, and bag the special blend of grains necessary to make the feed the Dolly Llama Farm prefers. Storage costs for the feed runs 15% of the unit cost as the cost of money, loss due to critters, and spoilage all add up.
-Refer to Scenario 9.10. There is some variability in how long it takes the feed store to whip up a batch of llama feed. The standard deviation of the feed prep is one day. The farm is willing to tolerate a 5% chance of running out of feed before they can get some more hauled in. The llamas would prefer a 0% chance, but they don't get a vote. What reorder point achieves the farm's objectives?

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