IM Systems assembles microcomputers from generic components. It purchases flat screen monitors from a manufacturer in Taiwan; thus, there is a long lead time of 25 days. Daily demand is normally distributed with a mean of 3.5 monitors and a standard deviation of 1.2 monitors. The company maintains a 90% customer service level. How much safety stock of monitors should IM Systems hold

Given Information:

Mean daily demand  = 3.5 monitors

standard deviation daily demand = 1.2 monitors

Lead time = 25 days

customer service level = 90%

Required Information:

Safety Stock = ?

Safety Stock = 8 monitors

Step-by-step explanation:

The  safety stock  of monitors that IM Systems should hold is given by

Where σ is the standard deviation of daily demand, n is the lead time and z is the z-score corresponding to 90% service level.

From the z-table, the z-score corresponding to 90% is found to be

z = 1.282

So the required safety stock  is

Rounding off to nearest whole number yields

Safety Stock = 8 monitors

Therefore, IM Systems should hold 8 monitors.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24