An automotive warehouse stocks a variety of parts that are sold at neighborhood stores One particular part, a popular brand of oil filter, is purchased by the warehouse for $1.50 each. It is estimated that the cost of order processing and receipt is $100 per order. The company uses an inventory carrying charge based on a 25 percent annual interest rate. The monthly demand for the filter follows a normal distribution with mean 290 and standard deviation 75. Order lead time is assumed to be five months. Assume that if a filter is demanded when the warehouse is out of stock, then the demand is back-ordered, and the cost assessed for each back-ordered demand is $12.80. Determine the optimal values of the order quantity and the reorder level. Q- 1383 R 1841

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QUESTION 9
An automotive warehouse stocks a variety of parts that are sold at neighborhood stores One particular part, a popular brand of oil filter, is purchased
by the warehouse for $1.50 each. It is estimated that the cost of order processing and receipt is $100 per order. The company uses an inventory
carrying charge based on a 25 percent annual interest rate. The monthly demand for the filter follows a normal distribution with mean 290 and
standard deviation 75. Order lead time is assumed to be five months. Assume that if a filter is demanded when the warehouse is out of stock, then
the demand is back-ordered, and the cost assessed for each back-ordered demand is $12.80.
Determine the optimal values of the order quantity and the reorder level.
Q= 1383
R= 1841
Transcribed Image Text:QUESTION 9 An automotive warehouse stocks a variety of parts that are sold at neighborhood stores One particular part, a popular brand of oil filter, is purchased by the warehouse for $1.50 each. It is estimated that the cost of order processing and receipt is $100 per order. The company uses an inventory carrying charge based on a 25 percent annual interest rate. The monthly demand for the filter follows a normal distribution with mean 290 and standard deviation 75. Order lead time is assumed to be five months. Assume that if a filter is demanded when the warehouse is out of stock, then the demand is back-ordered, and the cost assessed for each back-ordered demand is $12.80. Determine the optimal values of the order quantity and the reorder level. Q= 1383 R= 1841
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