In Exercises 3 and 4, use the simplex method to solve the linear programming problem. (3) Maximize ?1 + 2?2 Subject ?1 + 4?2 ≤ 8 ?1 + ?2 ≤ 12 ?1, ?2 ≥ 0

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In Exercises 3 and 4, use the simplex method to solve the linear
programming problem.
(3) Maximize ?1 + 2?2
Subject
?1 + 4?2 ≤ 8
?1 + ?2 ≤ 12
?1, ?2 ≥ 0
(4) Maximize 5?1 + 2?2 + 3?3
Subject
2?1 − 4?2 + ?3 ≤ 42
2?1 + 3?2 − ?3 ≤ 42
6?1 − ?2 + 3?3 ≤ 42
?1, ?2, ?3 ≥ 0

In Rrercises 3 and 4, use the simplex method to solve the itnear
programming problem.
(3) Maximize x1 + 2x2
Subject
X: + 4x2 8
Xị + x2 S 12
(4) Maximize Sx, + 2x2 + 3x,
Subject
2x. - 4x2 + xa 3 42
2x. + 3x2 - X3 S 12
6x, - x2 + 3x, S 42
Y1, Y2, Y3 20
Transcribed Image Text:In Rrercises 3 and 4, use the simplex method to solve the itnear programming problem. (3) Maximize x1 + 2x2 Subject X: + 4x2 8 Xị + x2 S 12 (4) Maximize Sx, + 2x2 + 3x, Subject 2x. - 4x2 + xa 3 42 2x. + 3x2 - X3 S 12 6x, - x2 + 3x, S 42 Y1, Y2, Y3 20
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