Question

Maximize z = -x + 2y
Subject to -x + 3y ≤ 10
x + 3y ≤ 6
x - y ≤ 2
x , y ≥ 0

Chapter : Linear Programming ​

Answer 1

Solution:-First draw the lines according to the given equation......

Now,from the graph,we have to see that area which satisfy all the given condition....

The shaded area is the area which will be in given condition...

that area is surrounded by 4-coordinates which lie on that line,,,

what we have to do,is to put the value and to check that which coordinates will give the maximum coordinates

four coordinates are,(0,0),(2,0),(3,1),(0,2)

putting in Z we get

Z=0

Z=-2+0=-2

Z=-3+2=-1

Z=0+4=4

this shows that max. value of z will be 4 at coordinate(0,2)

Answer 2

QUESTION:-

Maximize z = -x + 2y

Subject to -x + 3y ≤ 10

x + 3y ≤ 6

x - y ≤ 2

x , y ≥ 0

Chapter : Linear Programming

ANSWER:-

Value of z will be 4 at coordinate