Question

Using the following weekly demand data for a new soft drink, determine the upper and lower...

Using the following weekly demand data for a new soft drink, determine the upper and lower control limites that can be used in recognizing a change in demand patterns. Use _+3 control limits.

Week 1 - 3500

Week 2 - 4100

Week 3 - 3750

Week 4 - 4300

Week 5 - 4000

Week 6 - 3650

Homework Answers

Answer #1

process Mean= Sum all the demands of week /number of week =23300/6 =3883.3

Demand
Week 1 3500.0
Week 2 4100.0
Week 3 3750.0
Week 4 4300.0
Week 5 4000.0
Week 6 3650.0
Average 3883.3

Find variance of demand = sum of ( Average-Demand of week)2 / 6

Std. deviation of demand = sqrt( Variance )

Demand Variance
Week 1 3500.0 146944.4
Week 2 4100.0 46944.4
Week 3 3750.0 17777.8
Week 4 4300.0 173611.1
Week 5 4000.0 13611.1
Week 6 3650.0 54444.4
Average 3883.3 75555.6
Std. Dev 274.9

UCL = Process Mean + 3* Std. dev

LCL =  Process Mean - 3* Std. dev

UCL = 3883.3 +3*274.9 = 4708

LCL = 3883.3 - 3*274.9 = 3058.6

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