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Marie Bain is the production manager at a company that manufactures hot water he

ID: 464389 • Letter: M

Question

Marie Bain is the production manager at a company that manufactures hot water heaters. Marie needs a demand forecast for the next few years to help decide whether to add new production capacity. The company's sales history (in thousands of units) is shown in the table below. Use exponential smoothing with trend adjustment to forecast demand for period 6. The initial forecast for period 1 was 11 units; the initial estimate of trend was 0. The smoothing constants are = .3 and = .1 Please show how to work. Thank you in advance.

Period

Actual

Forecast

Trend

FIT

1

12

11.00

0.00

2

15

3

16

4

16

5

18

6

20

Period

Actual

Forecast

Trend

FIT

1

12

11.00

0.00

2

15

3

16

4

16

5

18

6

20

Explanation / Answer

We use exponential smoothing with trend adjustment or double exponential smoothing.

Demand for period 6 = 15.737 units

Period Actual Forecast Trend FIT 1 12 11 0 11 2 15 11.3 0.03 11.33 3 16 12.41 0.138 12.548 4 16 13.487 0.2319 13.7189 5 18 14.2409 0.2841 14.525 6 20 15.36863 0.368463 15.73709
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