Respuesta :
Answer: Spring forecast = 1759.5
Explanation:
Unadjusted forecast = [tex]\frac{6000}{4}[/tex] = 1500
(1) For winter season:
Average = [tex]\frac{Year1+year2+year3+year4}{4}[/tex]
= [tex]\frac{1480+1280+1040+900}{4}[/tex]
= 1175
Seasonal Index = [tex]\frac{Average\ of\ winter}{Average\ of\ all\ season}[/tex]
=[tex]\frac{1175}{1283}[/tex]
= 0.915
Adjusted Forecast = Unadjusted forecast x Seasonal Index
= 1500 × 0.915
= 1372.5
(2) For spring season:
Average = [tex]\frac{Year1+year2+year3+year4}{4}[/tex]
= [tex]\frac{1500+1400+1620+1500}{4}[/tex]
= 1505
Seasonal Index = [tex]\frac{Average\ of\ winter}{Average\ of\ all\ season}[/tex]
=[tex]\frac{1505}{1283}[/tex]
= 1.173
Adjusted Forecast = Unadjusted forecast x Seasonal Index
= 1500 × 1.173
= 1759.5
(3) For summer season:
Average = [tex]\frac{Year1+year2+year3+year4}{4}[/tex]
= [tex]\frac{1020+2120+2000+2000}{4}[/tex]
= 1785
Seasonal Index = [tex]\frac{Average\ of\ winter}{Average\ of\ all\ season}[/tex]
=[tex]\frac{1785}{1283}[/tex]
= 1.39
Adjusted Forecast = Unadjusted forecast x Seasonal Index
= 1500 × 1.39
= 2086.9
(4) For fall season:
Average = [tex]\frac{Year1+year2+year3+year4}{4}[/tex]
= [tex]\frac{640+810+670+560}{4}[/tex]
= 670
Seasonal Index = [tex]\frac{Average\ of\ winter}{Average\ of\ all\ season}[/tex]
=[tex]\frac{670}{1283}[/tex]
= 0.522
Adjusted Forecast = Unadjusted forecast x Seasonal Index
= 1500 × 0.522
= 783.32
∴ Spring forecast = 1759.5