State the dual problem. Use y1, y2, y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0, y3 ? 0, and y4
Minimize w = 11x1 + 7x2 + 4x3 + 5x4subject to: 11x1 + 5x2 + 7x3 + 4x4 ? 25 16x1 + 5x2 + 11x3 + 7x4 ? 30 x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A.
| Maximize | z = 25y1 + 30y2 |
5y1 + 5y2 ? 7
7y1 + 11y2 ? 4
4y1 + 7y2 ? 5
B.
| Maximize | z = 25y1 + 30y2 |
5y1 + 5y2 ? 7
7y1 + 11y2 ? 4
4y1 + 7y2 ? 5
C.
| Maximize | z = -25y1 - 30y2 |
5y1 + 5y2 ? 7
7y1 + 11y2 ? 4
4y1 + 7y2 ? 5
D.
| Maximize | z = 25y1 + 30y2 |
5y1 + 5y2 ? -7
7y1 + 11y2 ? -4
4y1 + 7y2 ? -5
Answer: A
Mathematics
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