Maximize Z = x + y, subject to x - y - 1, - x + y 0,x,y 0 .

Linear Programming — Class 12 Maths Solution

ncert exercise SA NCERT,Ex.12.1,Q.10,page.513

Question

Maximize $Z = x + y,$ subject to$x - y \le - 1, - x + y \le 0,x,y \ge 0$ .

Step-by-step Solution

.: The system of constraints is :

$x - y \le - 1$ …(1)

$- x + y \le 0$ ….(2)

$x,y \ge 0$ ….(3)

Let ${l_1}:x - y = - 1; \& {l_2}; - x + y = 0$

$figure$

Clearly, there is no feasible region.
[ There is no common region]

Hence, there is no maximum value of Z

Exercise - 12.2

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Linear Programming. Curated by Sachin Sharma. Free for all students.