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# Linear programming models: Choose mathematical relationships

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31. Which of the following mathematical relationships could be found in a linear programming model? Choose YES if the relationship could be, and NO if it could not.
A. YES
B. NO

-28B + 7A = 45 1. A or B
12B - A Ã¢?Â¤ 10 2. A OR B
AB > 10 3 A OR B
A + 4B2 Ã¢?Â¥ 21 4. A OR B
5A - B + 2AB = 1232. 5 A OR B

For the linear program

Max 4A + B

s.t.

2A + B Ã¢?Â¤ 12

B Ã¢?Â¤ 6

A + 2B Ã¢?Â¥ 4

A Ã¢?Â¤ 5

Which of the following would be found in the correct standard form?

A. YES
B. NO

2A + B - S1 = 12
2A + B + S1 = 12
B + S2 = 6
A - S4 = 5
A = 5
A + 2B - S3 = 433.

A) A = 0, B = 5
B) A = 5, B = 0
C) A = 5, B = 2
D) A = 4.5, B = 6

34. Using the answer you chose above, what is the value of S1?

35. Using the answer you chose above, what is the value of S2?

36. Using the answer you chose above, what is the value of S3?

37. Using the answer you chose above, what is the value of S4?