Given the linear program Max 3A +48 s.t. 4 -1A+ 28 S 8 1A + 2B ≤ 12 2A+ 18 ≤ 16 A, 82 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) s.t. A+ A+ A+ A A+ B+ B+ B B . Select the correct graph that shows the optimal solution for the problem. S1 S1 + S2 + $₂ + 53 53 A, B, S1, S2 53

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
S1 -
e
(1)
S2 =
S3
(0)
8-
2-
10-
14-
12-
10-
0-
12-
14-
2-
8-
AB
AB
(3)
000
(3)
Optimal solution
A-4.8, B-6.4
Value 40
Optimal solution
A-4.8, B-6.4
Value 40
6
8
10
10
(2)
(2)
(1)
(1)
12
(iv)
(11)
12-
10-
8-
2-
14-
12-
10-
2-
AB
8-
(3)
(3)
Optimal solution
A-20/3, B-8/3
Value-30 2/3
Optimal solution
A-20/3, B-8/3
Value-30 2/3
(2)
10
10
(1)
(1)
(2)
c. What are the values of the three slack variables at the optimal solution? If required, round your answers to one decimal place.
=&inprogress=false
12
A Q
E
Transcribed Image Text:S1 - e (1) S2 = S3 (0) 8- 2- 10- 14- 12- 10- 0- 12- 14- 2- 8- AB AB (3) 000 (3) Optimal solution A-4.8, B-6.4 Value 40 Optimal solution A-4.8, B-6.4 Value 40 6 8 10 10 (2) (2) (1) (1) 12 (iv) (11) 12- 10- 8- 2- 14- 12- 10- 2- AB 8- (3) (3) Optimal solution A-20/3, B-8/3 Value-30 2/3 Optimal solution A-20/3, B-8/3 Value-30 2/3 (2) 10 10 (1) (1) (2) c. What are the values of the three slack variables at the optimal solution? If required, round your answers to one decimal place. =&inprogress=false 12 A Q E
Problem 7-19
eBook
Given the linear program
Max 3A +48
s.t.
Y
-1A+
1A +
2A +
s.t.
28 ≤ 8
2B ≤ 12
18 ≤ 16
Α, Β 2 0
a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300)
Al+
A+
A+C
A+
B+
B
B+
B
B
b. Select the correct graph that shows the optimal solution for the problem.
S1
S1
+
+
S₂ +
S2
+
S3
53
A, B, S1, S2,
S3
A Q☆
Transcribed Image Text:Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆
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