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A firm uses a continuous review (Q) inventory system. Weekly demand for a product is normally distributed with a mean of 120 units and a standard deviation of 10 units. Lead time is constant at 4 weeks. The company reordered when 506 units of the product remained. About what cycle-service level (i.e., service level over the lead time) were they trying to maintain?

Sagot :

Answer: 90.32%

Explanation:

Weekly demand (d) = 120

Standard deviation = 10

Lead time (l) = 4

Reorder point = 506

The reorder point is calculated as:

506 = 120 × 4 + Z × 10 × ✓4

Solving for Z will give us 1.3

Then, we check this in the z table which will give us p = 0.9032

Therefore, the service level is 90.32%.

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