In a continuous review inventory​ system, the lead time for door knobs is weeks. The standard deviation of demand during the lead time is units. The desired​ cycle-service level is percent. The supplier of door knobs streamlined its operations and now quotes a 1 week lead time. Refer to the standard normal tableLOADING... for​ z-values. How much can the safety stock be reduced without reducing the percent​ cycle-service level? The safety stock can be reduced by nothing door knobs. ​(Enter your response rounded to the nearest whole​ number.)

The answer is "116 doorknobs".

Explanation:

The standard deviation of the demand before the (four weeks) protection intervals =

The desired cycle service level is .Therefore,

The safety stocks for the four-weeks protecting interval are:

Safety stock

The safety stocks require for the one-week protection interval are:

Safety stock

Safety stock reduction

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%