Weekly demand for electric motors at a Japanese motor manufacturer is normally distributed, with a  mean of 1,000 and a standard deviation of 1,000. Motors are currently assembled in China and delivered at a cost of 20,000 yen/motor. The supplier takes eight weeks to supply an order. A local Japanese manufacturer has offered to deliver motors with a lead time of one week at a cost of 20,400 yen per motor. The motor manufacturer is targeting a CSL of 99 percent (z=2.326) and monitors its inventory continuously. The manufacturer incurs a holding cost of 25 percent. Answer the following questions. (a) What is the safety inventory under each of the two possible motor suppliers (Chinese and local)? (b) Calculate the total annual costs with both suppliers (Chinese and local) and decide if the manufacturer should accept the local supplier’s order.

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Weekly demand for electric motors at a Japanese motor manufacturer is normally distributed, with a  mean of 1,000 and a standard deviation of 1,000. Motors are currently assembled in China and delivered at a cost of 20,000 yen/motor. The supplier takes eight weeks to supply an order. A local Japanese manufacturer has offered to deliver motors with a lead time of one week at a cost of 20,400 yen per motor. The motor manufacturer is targeting a CSL of 99 percent (z=2.326) and monitors its inventory continuously. The manufacturer incurs a holding cost of 25 percent.

Answer the following questions.

(a) What is the safety inventory under each of the two possible motor suppliers (Chinese and local)?

(b) Calculate the total annual costs with both suppliers (Chinese and local) and decide if the
manufacturer should accept the local supplier’s order.

 

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