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

question 199

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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. The actual usage for grain depends on which llamas show up at feeding time, thus there is an average need for 50 pounds of grain each day with a standard deviation of five pounds. 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?

Definitions:

Market Revolution

A period of significant change in the United States during the early 19th century, characterized by the rapid expansion of capitalism and the development of a national market economy.

Cooperative Basis

A foundational principle for organizations or enterprises that are owned and run jointly by their members, who share the profits or benefits.

Private Property

The legal right to own, use, and manage property, which is protected by law from unauthorized use by others.

Robert Owen

A 19th-century Welsh social reformer and one of the founders of utopian socialism and the cooperative movement.