Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeks

Practical Management Science
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Answer the given question with a proper explanation and step-by-step solution.

An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand).

On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law

2.5 weeks

6.6 weeks

5.3 weeks

1.3 weeks

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