00:01
Hi, to find maximum z, 5x plus 12y, x greater than equal to 0, y greater than equal to 0, 2x minus 4y less than 20 and 2x plus 8y less than 80.
00:17
So we first take this, so taking 2 common, so this is x minus 2y, i am taking the equality.
00:24
So this becomes 10, so we can make this, so this is 0, minus 5, 0 and 10.
00:33
Now if we check this, 2 into 0 minus 4 into 0 is less than 20, which is true, so this line contains origin.
00:42
Similarly for this, this will be x plus 4y equal to 40 and we can make the table, so x 0, y 10, this is 0, 40 and for this also, this will contain the origin.
00:57
So now let us see the graph for this...