   Chapter 8.2, Problem 82E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Sales A company that produces a window and door insulating kit forecasts monthly sales S over the next 2 years to be S = 23.1 + 0.442 t + 4.3 sin π t 6 where 5 is measured in thousands of units and t is the time in months, with t =   1 corresponding to January 2015. Find the monthly sales for (a) February 2015, (b) February 2016, (c) September 2015, and (d) September 2016.

(a)

To determine

To calculate: The monthly sales for February 2015, when the monthly sales S for next 2 years is forecasted as S=23.1+0.442t+4.3sinπt6.

T(t)=98.6+4cosπt36     0t18

Explanation

Given Information:

The monthly sales S for next 2 years is forecasted as S=23.1+0.442t+4.3sinπt6.

Calculation:

Consider the monthly sales S for next 2 years:

S=23.1+0.442t+4.3sinπt6.

In February 2015, t=2

(b)

To determine

To calculate: The monthly sales for February 2016, when the monthly sales S for next 2 years is forecasted as S=23.1+0.442t+4.3sinπt6.

T(t)=98.6+4cosπt36     0t18

(c)

To determine

To calculate: The monthly sales for September 2015, when the monthly sales S for next 2 years is forecasted as S=23.1+0.442t+4.3sinπt6.

T(t)=98.6+4cosπt36     0t18

(d)

To determine

To calculate: The monthly sales for September 2016, when the monthly sales S for next 2 years is forecasted as S=23.1+0.442t+4.3sinπt6.

T(t)=98.6+4cosπt36     0t18

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