A primal maximization problem is given. Maximize f = 60x1 + 30x2 subject to 3x1 + 2x2 ≤ 150 x1 + x2 ≤ 70 . (a) Form the dual minimization...
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A primal maximization problem is given.
Maximize
f = 60x1 + 30x2
subject to
3x1 + 2x2 ≤ 150 x1 + x2 ≤ 70 .
(a) Form the dual minimization problem. (Usey1 and y2 as the variablesand g as the function.)
Minimize g =Â Â
  subject to
  ≥ 60   ≥ 30 y1, y2 ≥ 0 .
(b) Solve both the primal and dual problems with the simplexmethod.
primal    x1 = primal    x2 = primal    f = dual    y1 = dual    y2 = dual    g =
A primal maximization problem is given.
Maximize
f = 60x1 + 30x2
subject to
| 3x1 | + | 2x2 | ≤ | 150 | |
| x1 | + | x2 | ≤ | 70 | . |
(a) Form the dual minimization problem. (Usey1 and y2 as the variablesand g as the function.)
Minimize g =Â Â
  subject to
|   | ≥ | 60 | |
|   | ≥ | 30 | |
| y1, y2 | ≥ | 0 | . |
(b) Solve both the primal and dual problems with the simplexmethod.
| primal    | x1 | = | |
| primal    | x2 | = | |
| primal    | f | = | |
| dual    | y1 | = | |
| dual    | y2 | = | |
| dual    | g | = |
Answer & Explanation Solved by verified expert
3.8 Ratings (505 Votes)
a the dual minimization problem is given bysubject tob simplex method for primal problemprimal problem ismaximize f 60x130x2subject
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