Question: 2a)state the duel problem for the following, but do not solve it. minimize w=y 1 +3y 2 +6y 3 +9y 4 subject to: 3y 1
2a)state the duel problem for the following, but do not solve it.
minimize w=y1 +3y2+6y3 +9y4
subject to: 3y1+4y2+5y3+y4(greater than or equal to ) -5
y1+3y2+6y3+y4 (greater than or equal to ) 13
Maximize Z= , ___x1+ ___x2
subject to: _______<1
_____________ <3
_______________ <6
_________________<9
x1>0, x2>0
2b) solve the following linear programming problem by applying the simplex method to the dual problem
minimize C=5x1+18x2
subject to: 2x1+x2(greater than or equal to ) 12
x1+2x2(greater than or equal to ) 12
min c= , at x1=, x2=,
2c) minimize w=2y1+y2+2y3
subject to: y1+y2 +y3(greater than or equal to ) 12
4 y1+y2 (greater than or equal to ) 49
the min is w=, when y1=, y2=, and y3=,
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