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a1) On average, how long a diskette spend in stock?

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1 a1) On average, how long a diskette spend in stock?
Problem 7.2 R/week = N(1000,150) L = 4 week Q = 20,000 ROP = 4,200 50 weeks /yr Average R /year = 50,000 S =100 C = 1 h = .25  H = .25 Is = ROP – LTD Is = = 200 Cycle inventory = Q/2 + Is Cycle inventory = 20000/ = 10200 I = RT  = 1000T = 10.2 weeks a2) What is annual ordering and carrying costs Number of orders R/Q R/Q = 50,000/20,000 = 2.5 Ordering cost = 100(2.5) = 250 Average inventory = 20000/2 +200 Carrying cost = .25( )= Carrying cost = = 2550 Total inventory system cost = = 2800 Carrying cost (excluding safety stock cost) = 2500 Ordering cost = 250 What does it say about EOQ? EOQ<20,000

2 b1) Identify optimal ordering policy with respect to
EOQ and ROP. Assuming SL = .95 Problem 7.2 R/week = N(1000,150) 50 weeks /yr Average R /year = 50,000 L = 4 week S =100 C = 1 h = .25  H = .25 =6325 Quantity Service level Risk of a stockout Probability of no stockout ROP Average demand Safety stock z-scale z

3 z b1) Identify optimal ordering policy with respect to
EOQ and ROP. Assuming SL = .95 Problem 7.2 R/week = N(1000,150) 50 weeks /yr Average R /year = 50,000 L = 4 week S =100 C = 1 h = .25  H = .25 Given a 95% SL 95% Probability The table will give you z Page 319: Normal table z Second digit after decimal Up to the first digit after decimal 0.95

4 b2) On average, how long a diskette spend in stock?
Problem 7.2 R/week = N(1000,150) 50 weeks /yr Average R /year = 50,000 L = 4 week S =100 C = 1 h = .25  H = .25 b2) On average, how long a diskette spend in stock? Average inventory = 6325/ Average inventory = 3658 I = RT 3658 = 1000T T = 3.66 weeks c) Reduce lead time form 4 to 1. What is the impact on cost and flow time Safety stock reduces from 495 to 247.5 units reduction That is .25(247.5) = $62 saving Average inventory = (6,325/2) = 3,410. Average time in store  I = RT 3410 = 1000T T = 3.41 weeks


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