Consider the linear programming problem. Maximize M = 7x + 2y + z subject to
(a) Introducing suitable slack variables, rewrite it as a linear system of equations and state the equivalent problem.(b) Set up the initial simplex tableau.(c) Determine the particular solution that results from setting all group-I variables equal to zero.
What will be an ideal response?
| (a) | Among all solutions of the system of linear equations |
find one for which x ? 0, y ? 0, z ? 0, u ? 0, v ? 0, w ? 0, and M is maximum.
(b)
| (c) | x = 0, y = 0, z = 0, u = 12, v = 6, w = 10, M = 0 |
Mathematics
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