Question

Maximize p = x subject to

x	−	y	≤	4
−x	+	3y	≤	4
x ≥ 0, y ≥ 0.

HINT [See Examples 1 and 2.]

p	=
(x, y)	=	____________

Answer 1

[Intercepting point of these two equation:-

now from the graph we can see that shaded region is solution region. And there is four corner point A(4,0), B(8,4), C(0,1.33), (0,0).

Now we calculate the value of p in this corner point,

So from the table we can see that maximum value of objective function

p = x =8 and it is occures at the point B(8,4)

Answer:-

P = 8

(x,y) = (8,4)