Question

Cranium, Inc., purchases term papers from an overseas supplier under a continuous review system. The average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. It costs $60 to process each order and there is a five-day lead-time. The holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. Cranium operates 200 days per year. Use the information in Scenario 9.7. What is the annual cost of holding the safety stock necessary to maintain the 98% service level

Answer 1

Answer:

B) greater than $30 but less than $40

• the actual result is $39

Explanation:

the options are missing:

A) less than or equal to $30

B) greater than $30 but less than $40

C) greater than $40 but less than $50

D) greater than $50

we must first calculate safety stock = (Z-score x √lead time x standard deviation of demand) + (Z-score x standard deviation of lead time x average demand)

• Z-score for 98% confidence level = 2.326
• standard deviation of demand = 30
• √lead time = √5 = 2.23607
• we are not given any standard deviation of lead time, so we can assume that it is 0

safety stock = (2.326 x √2.23607 x 30) + (2.326 x 0 x 300) = 156.03 ≈ 156 units

the annual holding cost of 156 units = 156 x $0.25 = $39