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A manufacturer uses a purchase part who's 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)
To what extent do you think Verwaayen and other top managers have satisfied when making these decisions?
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