00:01
Hi, there is a question.
00:02
You say that i am trying to solve the linear programming problem z equal to 2x plus 4y and i need to maximize constraints x greater than 0, y greater than equal to 0 means these two collectively means first quadrant 2x plus y greater than equal to 4, x plus y less than equal to 9.
00:32
So first of all, if you plug in 0 and 0 in place of x and y, 0 greater than equal to 4 which is false.
00:41
So the region will be above this line, 0 less than equal to 9.
00:49
So region will be below this line.
00:52
Find out point of intersections of these two lines first.
00:59
So y is 9 minus x.
01:02
I will be plugging in 2x plus 9 minus x equal to 4, x equal to 4 minus 9 which is minus 5.
01:14
When x is minus 5, y is 14.
01:18
So minus 5 comma 14.
01:22
This is not of our interest because this point of intersection lies on second quadrant.
01:31
Now i will be drawing both the lines first.
01:37
Y 0, 2x plus y equal to 4.
01:43
When x is 0, y is 4, 0 comma 4.
01:52
When y is 0, x is 2, 2 comma 0.
02:00
This is 2x plus y equal to 4 and x plus y equal to 9, another line...