Question

M9.5 Peter Sagan is in charge of maintaining hospital supplies at Champs Hospital. During the past year the mean weekly demand for a special type of tubing was 186 packages of this tubing with a standard deviation of 13 packages of tubing. The lead time for receiving this tubing from the supplier is 1.5 weeks. Peter would like to maintain a 95% service level and places an order for 750 packages every time an order is placed. a) How much safety stock should be used for a 95% service level

Answer 1

26 packages

Step-by-step explanation:

Given that:

The demand D = 186 packages in a week

Standard deviation = 13packages

The lead time L = 1.5 weeks

Order quantity Q = 750 packages

The Confidence service Level = 0.95

At the service level (SL) if we find the P(Z) of the SL using Excel, we have:

P(Z) = NORMSINV(0.95)

P(Z) = 1.64

Thus;

the safety stock = Z × SD√L

`= 1.64 * 13 √(1.5) \\ \\`

= 1.64 \times 13 (1.224745)

= 1.64\times15.92

= 26.11156

≅ 26 packages