Standard deviation of soap


The manager of car wash received revised price list from the vendor who supplies soap, and promise of shorter lead time for deliveries. Formerly the lead time was 4 days, but now the vendor promises the reduction of 25 percent in that time. Annual usage of the soap is 4500 gallons. The car wash is open 360 days a year. Suppose that daily usage is normal, and that it has the standard deviation of 2 gallons for each day. The ordering cost is $30 and annual carrying cost is $3 a gallon. The revised price list (cost per gallon) is given in the following table:

Quantity

unit price

1-399

$2

400-799

$1.70

800+

$1.62

a. What order quantity is optimal?

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Operation Management: Standard deviation of soap
Reference No:- TGS014559

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