State the dual problem. Use y1, y2, y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0, y3 ? 0, and y4
Minimize w = 6x1 + 2x2 + 3x3 + 2x4subject to: 4x1 + 5x2 + 4x3 + 3x4 ? 45 4x1 + 6x2 + 5x3 + 11x4 ? 55 x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A.
| Maximize | z = -45y1 - 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
B.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
C.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
D.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? -2
4y1 + 5y2 ? -3
3y1 + 11y2 ? -2
Answer: C
Mathematics
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