Linear Programming Problem Using Graphical Methods.
Suppose you are given an Objective function : Max Z = 6x+5y Subject to, X+Y ≤ 5 3X+2Y ≤ 12 X,Y ≥ 0 Solution :- Step 1: You have to put 0 in place of X to calculate Y. Again, you have to put 0 in place of Y and calculate X, by removing the less-than sign. So, Putting X=0 in equation X+Y ≤ 5. The equation becomes, [0+Y=5], So Y comes out to be Y=5. So the solution is (0,5).................................................................................{I} Now, putting Y=0 in the equation X+Y ≤ 5. The equation becomes,[X+0=5], So X comes out to be 5. So the solution is (5,0)..................................................................................{II} Now, Putting X=0 in equation 3X+2Y ≤ 12. The equation becomes,[3*0+2Y=12], So Y comes out to be Y=6. So the solution is (0,6)..................................................................................{III} Now, Putting