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A textile manufacturing company uses a certain chemical in its finishing process at an annual rate of 12,000 liters. This demand ratio is constant over time, but varies randomly in each period. The demand during the delivery time is normally estimated distributed are average of 300lt and standard deviation of 40lt. The chemical is purchased at a cost of acquisition of $ 3.60 / lt and a fixed cost of $ 70 for each time it is ordered. The company uses a annual inventory carrying rate of 20%. The resulting shortage in each period implies reprogramming of production, with a resulting cost proportional to the size of the shortage of $ 1.50 / lt.
a. Get the optimal order quantity and reorder point. ______________, _____________
b. What will be the reorder point if you want the probability of a missing occurrence to be 5%? _______________________
c. Calculate the reorder point if you wish to comply with 99.5% of the demand. ______________
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