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Part $1$

Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation.$$ Thomas's fastest$-$moving inventory item has a demand of $6$ comma $100$ units per year. The cost of each unit is $$$$101,$ and the inventory carrying cost is $$$$9$ per unit per year. The average ordering cost is $$$$31$ per order. It takes about $5$ days for an order to$$ arrive, and the demand for $1$ week is $122$ units.$($This is a corporate$$ operation, and there are $250$ working days per$$ year$).$