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1. A company has calculated its CFE to be 500 and its MADt is 25. Which one of the following is the resulting TS?

a) 0.05
b) 20
c) 25
d) More than 25
e) Cannot be calculated based on this information

2. Given the following weekly demand and forecast figures:

Week

Demand

Forecast

1

27

20

2

21

25

3

39

35

The MAD is: a) 5 b) 7 c) 10 d) 17 e) none of the above

3. Given the following weekly demand and forecast figures:

Week

Demand

Forecast

1

27

20

2

21

25

3

39

35

The mean square error is: a) 7 b) 15 c) 27 d) 81 e) 150

4. Given the following demand data:

Week

Demand

1

230

2

170

3

240

4

220

5

250

A four-period moving average forecast for period 6 is: a) 210 b) 215 c) 220 d) 250 e) none of the above

5. Given the following demand data:

Week

Demand

1

230

2

170

3

240

4

220

5

250

Using weights 0.5, 0.3, and 0.2 with largest weight to demand assigned to the recent period (period 5), a three period weighted moving average forecast for period 6 is: a) 203 b) 216 c) 236 d) 239 e) none of the above.

6. Number of hours required per unit is 2 hours and there are 8 working hours per day. There are 20 working days in each month. The number of workers needed to produce 1600 units in a month without overtime and without carrying inventory is:

a) 15
b) 20

c) 25
d) 50
e) None of the above

7. A company has the following forecast demand for the next six months:

Month

1

2

3

4

5

6

Demand

300

300

400

500

300

400

The firm must plan production for the next six months. If a level production rate of 400 is used, then which of the following is the maximum ending inventory level experienced during any month of the six months? Assume a beginning inventory of 0 for month 1.
a) 200
b) 300
c) 400
d) 500
e) 1800

8. You must submit the work in Assignments to earn credit for this problem.

Consider the data of Question 7. Now suppose that inventory, stockouts, overtime, and subcontracting are not allowed. Only hiring and layoff are allowed to respond to fluctuations in demand. Currently there are 20 workers on the payroll. The following information is also available.

Workdays/month = 20
Labor hours/unit = 16
Working time/day = 8
Hiring cost/worker = $50
Layoff cost/worker = $100

The total cost of hiring and layoff during the six-month period will be:
a) $1,000
b) $2,000
c) $3,000
d) $4,000
e) $5,000

9. You must submit the work in Assignments to earn credit for this problem.

July

60 units

August

63 units

Monthly demand for a product has been as follows in the last 2 months. What is the forecast for September using exponential smoothing with alpha = 0.3 if the forecast for July was 50 units?

a) 47 b) 53 c) 56 d) 57 e) 66

10. Six (6) samples of size five (5) were used to collect the data presented below:

sample number

1

2

3

4

5

6

sample mean (X-)

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 upper 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

11. Twenty samples of size six (6) were collected for a variable measurement. Determine the lower control limit (LCL) and upper control limit (UCL) 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

12. Twenty-five samples of size thirty (30) 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

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