In this case tracing the graph of the constraints of the problem in the first

In this case tracing the graph of the constraints of

This preview shows page 4 - 7 out of 8 pages.

is a straight line. In this case tracing the graph of the constraints of the problem in the first quadrant, we get the following shaded region as opportunity set. Fig. 6 Optimal solution by graphical method Considering the inequalities to equalities ) 7 ( ) 6 ( ) 7 ( 2 2 ) 6 ( 1 2 1 2 2 2 1 and Solving x x x x = + = + We get = 5 4 , 5 3 ), 0 , 1 ( ) , ( 2 1 x x The extreme points of the convex region are O(0, 0), A (1,0) B ( ) 5 / 4 , 5 / 3 and C(0,1). B C A O D C B A O
Image of page 4