Respuesta :
Answer:
The demand forecast for the four quarters of the year of 17 is
Demand for winter of year 17 = 83.96 million kWh
Demand for spring of year 17 = 115.92 million kWh
Demand for summer of year 17 = 148.13 million kWh
Demand for fall of year 17 = 74.37 million kWh
Explanation:
The North Dakota Electric Company estimates its demand trend line by the following equation.
[tex]D = 77 + 0.43Q[/tex]
Where Q is the sequential quarter number.
The multiplicative seasonal factors are as follows:
winter = 0.8
spring = 1.1
summer = 1.4
fall = 0.7
We are asked to find the forecast for the four quarters of the year of 17.
Since the quarter numbers are sequential,
Q = 1 + 16×4
Q = 65 for winter of year 17
Q = 66 for spring of year 17
Q = 67 for summer of year 17
Q = 68 for fall of year 17
Demand Winter year 17:
[tex]D = 77 + 0.43(65) = 104.95 \times 0.8 = 83.96[/tex]
Demand Spring year 17:
[tex]D = 77 + 0.43(66) = 105.38 \times 1.1 = 115.92[/tex]
Demand Summer year 17:
[tex]D = 77 + 0.43(67) = 105.81 \times 1.4 = 148.13[/tex]
Demand Fall year 17:
[tex]D = 77 + 0.43(68) = 106.24 \times 0.7 = 74.37[/tex]
Therefore, the demand forecast for the four quarters of the year of 17 is
Demand for winter of year 17 = 83.96 million kWh
Demand for spring of year 17 = 115.92 million kWh
Demand for summer of year 17 = 148.13 million kWh
Demand for fall of year 17 = 74.37 million kWh
