What is the dual problem for given linear programming problem?
Z = Max (4x1 + 5x2 + 7x3)
s.t. 3x1 + x2 + 6x3 <= 3
x1 + 2x2 + x3 <= 4
x1, x2, x3 >= 0
a) Z = Min (3y1 + 4y2)
s.t 3y1 + y2 >= 4
y1 + 2y2 >= 5
6y1 + 3y2 >= 7
y1, y2 >= 0
b) Z = Min (3y1 + 4y2)
s.t 3y1 + y2 >= 4
y1 + 2y2 <= 5
6y1 + 3y2 >= 7
y1, y2 >= 0
c) Z = Min (3y1 + 4y2)
s.t 3y1 + y2 <= 4
y1 + 2y2 >= 5
6y1 + 3y2 <= 7
y1, y2 >= 0
d) Z = Max (3y1 + 4y2)
s.t 3y1 + y2 >= 4
y1 + 2y2 >= 5
6y1 + 3y2 >= 7
y1, y2 >= 0
e) None of these
Dual Problem is written as: Z = Min (3y1 + 4y2) s.t 3y1 + y2 >= 4 y1 + 2y2 >= 5 6y1 + 3y2 >= 7 y1, y2 >= 0
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