The following information refers to questions 6, 7 and 8. A sandwich bar sells two types of salad rolls - basic and deluxe. Until now, 75% of customers have purchased the basic salad roll. With a change in prices and extra advertising, the sandwich bar expects from now on that 20% of people who bought the basic salad roll the previous day will change to buying a deluxe salad roll on the following day. It is also expected that 15% of people who bought the deluxe salad roll the previous day will change to a basic salad roll on the following day. and NECE a. A transition matrix for this situation would be: [0.80 A. D. A. [0.20] 0.15 D. 0.2 0.8 0.15 0.85 B. E. b. The initial matrix for this situation would be: [0.8 0.2 [0.80 0.75 B. B. 5 E. 0.85 [0.85 0.207 0.15 0.8 0.75 /0.25 0.85 0.15 C. [0.8 0.15 0.2 0.85 [0.439] 0.561 0.75 0.80 D. NEXT HEEK [0.600] 0.400 After 10 trading days, the proportions of basic to deluxe salad rolls would be (correct to three decimal places): 0.433 [0.500] C. 0.567 0.500 B E. 080 0030 16 0.435] 0.565 D 0-15 0.85

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How is question 4c wrong?

 

4.
The following information refers to questions 6, 7 and 8.
A sandwich bar sells two types of salad rolls - basic and deluxe. Until now, 75% of customers have
purchased the basic salad roll.
With a change in prices and extra advertising, the sandwich bar expects from now on that 20% of people
who bought the basic salad roll the previous day will change to buying a deluxe salad roll on the following
day. It is also expected that 15% of people who bought the deluxe salad roll the previous day will change to
a basic salad roll on the following day.
THIS HELE
A transition matrix for this situation would be:
[0.80]
0.85
$ 0.85 0.207
0.15 0.8
A.
D.
[0.20]
0.15
D.
0.2
0.8
0.15 0.85
b. The initial matrix for this situation would be:
0.8
[0.75]
A.
C.
0.2
S10
1+1
0.80
0.75
B.
E.
B.
B.
E.
/ 0.25
0.85
0.15
0.439
0.561
0.8 0.15
0.2 0.85
D.
0.75
0.80
0.600
0.400
NEXT HECK
After 10 trading days, the proportions of basic to deluxe salad rolls would be
(correct to three decimal places):
0.433
[0.500
0.500
C.
0.567
E.
133
0.567
60
080
o Loso
B
-
0.435
0.565
55
D
0-15
0.85
Transcribed Image Text:4. The following information refers to questions 6, 7 and 8. A sandwich bar sells two types of salad rolls - basic and deluxe. Until now, 75% of customers have purchased the basic salad roll. With a change in prices and extra advertising, the sandwich bar expects from now on that 20% of people who bought the basic salad roll the previous day will change to buying a deluxe salad roll on the following day. It is also expected that 15% of people who bought the deluxe salad roll the previous day will change to a basic salad roll on the following day. THIS HELE A transition matrix for this situation would be: [0.80] 0.85 $ 0.85 0.207 0.15 0.8 A. D. [0.20] 0.15 D. 0.2 0.8 0.15 0.85 b. The initial matrix for this situation would be: 0.8 [0.75] A. C. 0.2 S10 1+1 0.80 0.75 B. E. B. B. E. / 0.25 0.85 0.15 0.439 0.561 0.8 0.15 0.2 0.85 D. 0.75 0.80 0.600 0.400 NEXT HECK After 10 trading days, the proportions of basic to deluxe salad rolls would be (correct to three decimal places): 0.433 [0.500 0.500 C. 0.567 E. 133 0.567 60 080 o Loso B - 0.435 0.565 55 D 0-15 0.85
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