Question: INDIVIDUAL ASSIGNMENT #1 : LESSON 2 (10%) Question 1 Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are

INDIVIDUAL ASSIGNMENT #1 : LESSON 2 (10%)

Question 1

Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table:

Year

1

2

3

4

5

6

7

8

9

10

11

Registrations (000)

4

6

4

5

10

8

7

9

12

14

15

a) Develop a 3-year moving average to forecast registrations from year 4 to year 12.

b) Estimate demand again for years 4 to 12 with a 3-year weighted moving average in which registrations in the most recent year are given a weight of 2, and registrations in the other 2 years are each given a weight of 1.

c) Graph the original data and the two forecasts. Which of the two forecasting methods seems better?

Question 2

As you can see in the following table, demand for heart transplant surgery at Washington General Hospital has increased steadily in the past few years:

Year

1

2

3

4

5

6

Heart Transplan

45

50

52

56

58

?

The director of medical services predicted 6 years ago that demand in year 1 would be 41 surgeries.

a) Use exponential smoothing, first with a smoothing constant of .6 and then with one of .9, to develop forecasts for years 2 through 6.

b) Use a 3-year moving average to forecast demand in years 4, 5, and 6.

Question 3

The following gives the number of pints of type B blood used at Woodlawn Hospital in the past 6 weeks:

Weeks Of

Pints Used

August 31

360

Sept 7

389

Sept 14

410

Sept 21

381

Sept 28

368

October 5

374

a) Forecast the demand for the week of October 12 using a 3-week moving average.

b) Use a 3-week weighted moving average, with weights of .1, .3, and .6, using .6 for the most recent week. Forecast demand for the week of October 12.

c) Compute the forecast for the week of October 12 using exponential smoothing with a forecast for August 31 of 360 and a = .2.

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