Question 1: Six samples of size five were used to collect the data presented below:

sample number    1     2      3      4      5     6
sample mean ( )   8.0  8.1  7.9  8.2  7.8  8.0
sample range (R) 1.8  2.4  1.9  1.8   2.1  2.0

The lower control limit (LCL) an -chart is.

A. LCL = 7.800

B. LCL = 7.034

C. LCL = 6.846

D. LCL = 21.000

E. LCL = 0.000

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Question 2:

Twenty samples of size six were collected for a variable measurement. Determine the upper control limit (UCL) and lower control limit (LCL) for an R-chart if the average range, , is 4.4.

A. LCL = 0.3344, UCL = 9.3016

B. LCL = 0.0000, UCL = 1.4696

C. LCL = 1.826, UCL = 6.974

D. LCL = 0.0000, UCL = 8.8176

E. LCL = 0.0000, UCL = 176.3520

Question 3 :

Twenty-five samples of size thirty were collected and a total of 48 nonconforming items were found yielding p-bar = 0.064. The three sigma upper control limit (UCL) for a p control chart would be

A. 0.833

B. 0.211

C. 0.198

D. 0.091

E. None of the above

Question 4 :

A company has calculated its CFE to be 700 and its MADt is 20. Which one of the following is the resulting TS?

A. About 0.05

B. About 20

C. About 35

D. More than 35

E. Cannot be calculated based on this information

Question 5:

If you were trying to select a forecasting model based on a MAD statistic, which of the following MAD values reflects the most accurate model?

A. 0.425

B. 0.877

C. 2.000

D. 4.599

E. 100

Question 6:

Given the following weekly demand and forecast figures:

Week Demand Forecast
  1         20         40
  2         25         20
  3         35         30

The MAD is:

A. 0

B. -10

C. 30

D. 10

E. none of the above

Question 7:

Given the following weekly demand and forecast figures:

Week Demand Forecast
  1        20            40
  2        25            20
  3        35            30

The mean square error is:

A. -10

B. 15

C. 30

D. 150

E. 450

Question 8:

A company wants to forecast its demand using the Simple Moving Average and has the following demand data.

Week Demand

1 120
2 100
3 140
4 120
5 200

Which of the following is the four-period moving average forecast for period 6?

A. 120

B. 136

C. 140

D. 170

E. none of the above

Question 9

A company wants to forecast its demand using the Weighted Moving Average. The company uses two prior yearly sales values (i.e., Year 1 = 110 and Year 2 = 130). Using weights 0.9 and 0.1 with largest weight to demand assigned to the most recent period, which of the following is the two-period Weighted Moving Average forecast for Year 3?

A. 112

B. 117

C. 120

D. 128

E. none of the above.

Question 10

In Period 7 the exponentially smoothed forecast was 50 and the actual demand was 60. If alpha = 0.1, what is the exponentially smoothed forecast for Period 8?

A. 49

B. 50

C. 51

D. 59

E. 61

Question 11

Monthly demand for a product has been as follows in the last 2 months.

July 60 units
August 62 units

What is the forecast for September using exponential smoothing with alpha = 0.2 if the forecast for July was 50 units?

A. 54

B. 53

C. 52

D. 51

E. 50

Question 12:

The following table gives the demand and production plan for an organization.

                         January   February    March
Demand              900         900         1,500
Production plan  1,100      1,100       1,100

The initial inventory is zero. The inventory holding cost is $1 per unit per month. The total inventory holding cost for the plan is:

A. $400

B. $600

C. $800

D. $1,200

E. None of the above

Question 13:

A Company policy calls for keeping safety-stock equal to 25% the forecasted demand for that month. The company currently has a work force of 12 people.

The production requirement for the month of February is

A. 300

B. 100

C. 225

D. 250

E. none of the above

Question 14 :

A Company policy calls for keeping safety-stock equal to 25% the forecasted demand for that month. The company currently has a work force of 12 people.

The beginning inventory for the month of March is

A. 60

B. 75

C. 100

D. 150

E. none of the above

Question 15:

A Company policy calls for keeping safety-stock equal to 25% the forecasted demand for that month. The company currently has a work force of 12 people.

The number of units current work force of 12 workers can produce in a month during regular time is

A. 960

B. 800

C. 640

D. 600

E. none of the above

Question 16:

A Company policy calls for keeping safety-stock equal to 25% the forecasted demand for that month. The company currently has a work force of 12 people.

The number of workers needed to produce 960 units in a month is

A. 18

B. 16

C. 15

D. 12

E. none of the above