For the LPP given in Example 3.1 reproduced below, write the dual

In accordance with above, its dual shall be

Observing a little closely, we find that

(a) the primal problem is of the maximisation type while the dual is of the minimisation type.

(b) the constraint values 60 and 96 of the primal have become the coefficients of the dual variables y 1 and y2 in the objective function of the dual in that order; while the coefficients of the variables in the objective function of the primal have become the constraint values in the dual.
(

c) the first column of the coefficients in the constraints in the primal has become the first row in the constraints in the dual, and the second column has similarly become the second row.
(

d) the direction of inequalities in the dual is the reverse of that in the primal. Thus, while the inequalities in the primal are of the type~. they are of~ type in the dual.

Maximise Z = 40x + 35x2 Subject to 2x + 3x260 4x + 3x2 96 X1, X2 0