Authentic Thai rattan chairs are delivered to Gary​ Schwartz's chain of retail​ stores, called The Kathmandu​ Shop, once a year. The reorder​ point, without safety​ stock, is 200 chairs. Carrying cost is ​$40 per unit per​ year, and the cost of a stockout is $70 per chair per year. Given the following demand probabilities during the lead​ time, how much safety stock should be​ carried?          Demand During Lead Time Probability 0   0.2 100   0.2 200   0.2 300   0.2 400   0.2 The optimal quantity of safety stock which minimizes expected total cost is _ units ​(enter response as a whole​ number).

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Authentic Thai rattan chairs are delivered to Gary​ Schwartz's chain of retail​ stores, called The Kathmandu​ Shop, once a year. The reorder​ point, without safety​ stock, is 200 chairs. Carrying cost is ​$40 per unit per​ year, and the cost of a stockout is $70 per chair per year. Given the following demand probabilities during the lead​ time, how much safety stock should be​ carried?         
Demand During Lead Time
Probability
0
 
0.2
100
 
0.2
200
 
0.2
300
 
0.2
400
 
0.2
The optimal quantity of safety stock which minimizes expected total cost is _ units ​(enter response as a whole​ number).
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