George Kyparisis owns a company that manufactures sailboats. Actual demand for George's sailboats during each of the past four seasons was as follows:
Year
Season |
1 |
2 |
3 |
4 |
Winter |
1 comma 4801,480 |
1 comma 2001,200 |
1 comma 0801,080 |
960960 |
Spring |
1 comma 5601,560 |
1 comma 4201,420 |
1 comma 6201,620 |
1 comma 5801,580 |
Summer |
1 comma 0401,040 |
2 comma 1202,120 |
2 comma 0002,000 |
1 comma 9601,960 |
Fall |
600600 |
750750 |
690690 |
520520 |
George has forecasted that annual demand for his sailboats in year 5 will equal
6 comma 000
sailboats.
Based on the given data and using the multiplicative seasonal model, the demand level for George's sailboats in the spring of year 5 will be
______________________?
sailboats (enter a whole
number).
Answer: Spring of season 5 will be: 1811
Explanation:
AC | AD | AE | AF | AG | AH | AI | AJ | AK | AL | AM | |
170 | Multiplicative seasonal method | ||||||||||
171 | Season | sales in year 1 | sales in year 2 | sales in year 3 | sales in year 4 | Seasonal factor Year 1 | Seasonal factor Year 2 | Seasonal factor Year 3 | Seasonal factor Year 4 | Average seasonal factor | sales in year 5 |
172 | sales in the season/yearly average | sales in the season/yearly average | sales in the season/yearly average | sales in the season/yearly average | Average of all seasonal factor of all years | Average seasonal factor*1500 | |||||
173 | Winter | 1480 | 1200 | 1080 | 960 | 1.26 | 0.87 | 0.80 | 0.76 | 0.93 | 1390 |
174 | spring | 1560 | 1420 | 1620 | 1580 | 1.33 | 1.03 | 1.20 | 1.26 | 1.21 | 1811 |
175 | summer | 1040 | 2120 | 2000 | 1960 | 0.89 | 1.54 | 1.48 | 1.56 | 1.37 | 2055 |
176 | fall | 600 | 750 | 690 | 520 | 0.51 | 0.55 | 0.51 | 0.41 | 0.50 | 745 |
177 | Average | 1170 | 1372.5 | 1347.5 | 1255 |
Excel formulas
AC | AD | AE | AF | AG | AH | AI | AJ | AK | AL | AM | |
170 | Multiplicative seasonal method | ||||||||||
171 | Season | sales in year 1 | sales in year 2 | sales in year 3 | sales in year 4 | Seasonal factor Year 1 | Seasonal factor Year 2 | Seasonal factor Year 3 | Seasonal factor Year 4 | Average seasonal factor | sales in year 5 |
172 | sales in the season/yearly average | sales in the season/yearly average | sales in the season/yearly average | sales in the season/yearly average | Average of all seasonal factor of all years | Average seasonal factor*1500 | |||||
173 | Winter | 1480 | 1200 | 1080 | 960 | =AD173/AD$177 | =AE173/AE$177 | =AF173/AF$177 | =AG173/AG$177 | =AVERAGE(AH173:AK173) | =AL173*1500 |
174 | spring | 1560 | 1420 | 1620 | 1580 | =AD174/AD$177 | =AE174/AE$177 | =AF174/AF$177 | =AG174/AG$177 | =AVERAGE(AH174:AK174) | =AL174*1500 |
175 | summer | 1040 | 2120 | 2000 | 1960 | =AD175/AD$177 | =AE175/AE$177 | =AF175/AF$177 | =AG175/AG$177 | =AVERAGE(AH175:AK175) | =AL175*1500 |
176 | fall | 600 | 750 | 690 | 520 | =AD176/AD$177 | =AE176/AE$177 | =AF176/AF$177 | =AG176/AG$177 | =AVERAGE(AH176:AK176) | =AL176*1500 |
177 | Average | =AVERAGE(AD173:AD176) | =AVERAGE(AE173:AE176) | =AVERAGE(AF173:AF176) | =AVERAGE(AG173:AG176) |
George Kyparisis owns a company that manufactures sailboats. Actual demand for George's sailboats during each of...
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