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North Dakota Electric Company estimates its demand trend line​ (in millions of kilowatt​ hours) to​ be:


D​ = 80.0 ​+ 0.45​Q,


where Q refers to the sequential quarter number and Q​ = 1 for winter of Year 1. In​ addition, the multiplicative seasonal factors are as​ follows:


Quarter Factor​ (Index)

Winter 0.72

Spring 1.25

Summer 1.40

Fall 0.63


In year 26​ (quarters 101-104), the energy use for each of the quarters beginning with winter is ​(round your response to one decimal​ place):_______

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Answer:

90.3 ; 157.4 ; 176.9 ; 79.9

Explanation:

Given that:

Estimated demand trend line (in millions of kilowatt hour) for North Dakota Electricity company is :

D​ = 80.0 ​+ 0.45​Q,

Q = quarter number

Quarter Factor​ (Index)

Winter 0.72

Spring 1.25

Summer 1.40

Fall 0.63

In year 26​ (quarters 101-104):

Energy use (E) for each quarter = (Demand * quarter factor)

Winter ; Q = 101

E = [80.0 ​+ 0.45​(101)] * 0.72 = 90.3

E = [80.0 ​+ 0.45​(102)] * 1.25 = 157.4

E = [80.0 ​+ 0.45​(103)] * 1.40 = 176.9

E = [80.0 ​+ 0.45​(104)] * 0.63 = 79.9

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