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lec 4 handQuestion 1: Sharp Inc manufacturers and supplies painless hypodermic needles. They would like to minimize their inventory costs by determining the optimal number of hypodermic needles to obtain per order. Their annual demand is 1000 units with a set up or ordering cost of $10 per order and a holding cost of $0.50 per unit per year. Assume that each needle costs $10 to purchase. Lead time is 5 working days.
Calculate
a. Optimal order quantity per order (EOQ)

EOQ=Q*=Squareroot((2*(1000)*(10))/0.5 )=200

b. Minimum total annual inventory costs

Total Cost= 10*1000+(1000/200)*10+(200/2)*0.5=10102.325

c. The number of orders per year

N=1000/200=5

d. The time between orders
T=360/5=72
e. The …show more content…

Annual carrying costs are $3 per box, and ordering costs are $28. The following discount price schedule is provided by the office supply company: Order Quantity (boxes) | Price per Box | 0–999 | $16 | 1000–2999 | 14 | 3000+ | 12 |

Determine the optimal order quantity and the total annual inventory cost.

Question 7

Question 8: Barbra is in charge of maintaining BX7 supplies at the hospital where the mean demand for it during lead time is 60 (normally distributed) and std dev of 7. a) What is the safety stock if she would like to maintain a 90% service level? b) What is the appropriate reorder point? c) What is the safety stock if she would like to maintain a 95% service level? d) What is the appropriate reorder point? e) What is the safety stock if she would like to maintain a 99% service level? f) What is the appropriate reorder point?

Question 9

Question 10: The store in the previous example sells about 10 digital cameras a day however the lead time is normally distributed with a mean of 6 days and std deviation of 3 days. Find ROP for 90%, 95% and 99% service level.

Question 11: For a 6 pack of batteries, about 150 are sold every day with a std dev of 16 packs. Lead time is normally distributed with average of 5 days and a std dev of 1 day. What is the ROP for 90, 95 and 99% service level.

Question 12: A newsstand sells 120 copies of Global Post every day on average and sales are

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