Q. 1

# Find the maximum value of *Z* = 7X + 7Y, subject to the constraints.

x _{≥} 0, y _{≥} 0, x + y _{≥} 2 and 2x + 3y _{≤} 6.

Answer :

The feasible region determined by the constraints x , ,

x + y , 2x + 3y _{≤} 6 is given by

The corner points of the feasible region is A(0,2),B(2,0),C(3,0).

The values of Z at the following points is

The maximum value of Z is 21 at point C(3,0) .

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