Find the optimal order quantity and the reorder point

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Reference no: EM13107020

A manufacturer uses a purchase part whose demand over any time period of length t (in years) can assume to be normally distributed with mean 200t and variance 400t. The part cost $20 each. The lead-time is 4 weeks. The annual carrying cost rate is 0.2 $/$/year. All shortages are backlogged and the shortage cost is proportional to the number units short, where the backlogged cost is $16 per unit. The setup cost is $100. A reorder point (s,Q) policy is used. (Assuming 52 working weeks within a year). a) Find the optimal order quantity and the reorder point. b) Find the average total relevant cost (setup cost, inventory holding cost and shortage cost)

Reference no: EM13107020

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