Question

NetonBe makes sweaters, which traditionally involved the following steps: dyeing (i.e., into six different colors), knitting of the dyed fabric into three sizes each (small, medium, and large) and then distributing to the stores. As such, there were 18 different sweater color & size combinations in the end, each with a demand that is normally distributed with a mean of 1,000 and a standard deviation of 100. NetonBe has just developed a new system that allows them to knit a generic color sweater first, and then dyeing this generic sweater. As such, they only need to hold safety inventory for the three sizes, each with an average demand of 6,000. What would be the standard deviation in demand for each of these three generic sweaters?

a) Approximately 600
b) Approximately 300
c) Approximately 245
d) Approximately 60

Answer 1

NetonBe

The standard deviation in demand for each of these three generic sweaters is:

a) Approximately 600

Step-by-step explanation:

a) Data and Calculations:

Different sweater color & size combinations in the end = 18

Normally distributed demand mean of size = 1,000

Total demand of sizes = 18,000

Standard deviation of each size = 100

Standard deviation = 10% of mean (100/1,000 * 100)

Standard deviation for the total sizes = 1,800 (18,000 * 10%)

Average demand of new three sizes = 6,000

Total demand for the three new sizes = 18,000 (6,000 * 3)

Therefore, the standard deviation in demand for each of these three generic sweaters will be = 600 (6,000 * 10%)