Question: (a) Write the dual of the following linear programming problem: Maximize Z=3x1+5x2+4x3 2x1+3x2 8 2x2+5x310 3x1+2x2+4x3 15 x1,x2,x30 (b) Find the optimal solution to the

(a) Write the dual of the following linear programming problem:

Maximize Z=3x1+5x2+4x3

2x1+3x2 8

2x2+5x310

3x1+2x2+4x3 15

x1,x2,x30

(b) Find the optimal solution to the given problem in (a) above, using the simplex method (c) From the final optimal table in (b) above, find the solution to the dual problem. (d) Give the economic interpretation to the solution in(c) above.

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