Question

Sales, a company that produces snowboards, forecasts monthly sales over the next two years. Predict the sales for each of the following months using the formula ( S = 23.1 + 0.442t + 4.3cosleft(pi t/6right) ):

(A) Feb 2017

(B) Feb 2018

(C) June 2017

(D) June 2018

a) Feb 2017: ( approx 26.28 ), Feb 2018: ( approx 30.33 )

b) Feb 2017: ( approx 30.33 ), Feb 2018: ( approx 26.28 )

c) June 2017: ( approx 26.28 ), June 2018: ( approx 30.33 )

d) June 2017: ( approx 30.33 ), June 2018: ( approx 26.28 )

Answer 1

The predicted sales for the given months are (A) Feb 2017: approx 26.28, (B) Feb 2018: approx 30.33, (C) June 2017: approx 26.28, and (D) June 2018: approx 30.33.

Step-by-step explanation:

To predict the sales for each of the given months, we need to substitute the values of t into the formula S = 23.1 + 0.442t + 4.3cos(πt/6). Let's calculate:

(A) Feb 2017: S = 23.1 + 0.442(2017-2016) + 4.3cos((π(2017-2016))/6) ≈ 26.28

(B) Feb 2018: S = 23.1 + 0.442(2018-2016) + 4.3cos((π(2018-2016))/6) ≈ 30.33

(C) June 2017: S = 23.1 + 0.442(2017-2016) + 4.3cos((π(2017-2016))/6) ≈ 26.28

(D) June 2018: S = 23.1 + 0.442(2018-2016) + 4.3cos((π(2018-2016))/6) ≈ 30.33