From 2003 through 2008, the sales R1 (in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by R1 = 440 – 8t - 0.8t2, t = 3, 4, 5, 6, 7, 8 where t = 3 represents 2003. During the same six-year period, the sales R2 (in thousands of dollars) for the second restaurant can be modeled by R2 = 234 + 0.78t, t = 3, 4, 5, 6, 7, 8. (a) Write a function R3 that represents the total sales of the two restaurants owned by the same parent company. R3 = (b) Use a graphing utility to graph R1, R2, and R3 in the same viewing window. y y 800 800 600 600 R3 R3 R1 R1 400 400 200 R2 200 R2 t 8 4 6 6 8 y 800- 800 600 R3 600 R3 R1 R1 400 400 200 200 R2 R2 4 5 6 7 8 4 6 7 8
From 2003 through 2008, the sales R1 (in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by R1 = 440 – 8t - 0.8t2, t = 3, 4, 5, 6, 7, 8 where t = 3 represents 2003. During the same six-year period, the sales R2 (in thousands of dollars) for the second restaurant can be modeled by R2 = 234 + 0.78t, t = 3, 4, 5, 6, 7, 8. (a) Write a function R3 that represents the total sales of the two restaurants owned by the same parent company. R3 = (b) Use a graphing utility to graph R1, R2, and R3 in the same viewing window. y y 800 800 600 600 R3 R3 R1 R1 400 400 200 R2 200 R2 t 8 4 6 6 8 y 800- 800 600 R3 600 R3 R1 R1 400 400 200 200 R2 R2 4 5 6 7 8 4 6 7 8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:From 2003 through 2008, the sales R1 (in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by
R1 = 440 – 8t - 0.8t2, t = 3, 4, 5, 6, 7, 8
where t = 3 represents 2003. During the same six-year period, the sales R2 (in thousands of dollars) for the second restaurant can be modeled by
R2 = 234 + 0.78t, t = 3, 4, 5, 6, 7, 8.
(a) Write a function R3 that represents the total sales of the two restaurants owned by the same parent company.
R3 =
(b) Use a graphing utility to graph R1, R2, and R3 in the same viewing window.
y
y
800-
800
600
600
R3
R3
R1
R1
400
400
200
200
R2
R2
t
8
4
8
4
5
6
800
800
600
R3
600
R3
R1
R1
400
400
200
200
R2
R2
4
6
7
8
4
6
7
8
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