Minimise Z = 13x - 15y subject to the constraints x + y 7 , 2x - 3y + 6 0 , x 0 and y 0 .

Linear Programming — Class 12 Maths Solution

exemplar sa SA NCERT,Exemp,Q.4,Page,250

Question

Minimise $Z = 13x - 15y$ subject to the constraints $x + y \le 7$,$2x - 3y + 6 \ge 0$, $x \ge 0$ and $y \ge 0$.

Step-by-step Solution

Minimise $Z = 13x - 15y$ subject to the constraints $x + y \le 7,$ $2x - 3y + 6 \ge 0,$ $x \ge 0,$ $y \ge 0$.

Shaded region shown as OABC is bounded and

coordinates of its corner points are (0,0), (7,0),(3,4) and (0,2), respectively.

$figure$

Hence, the minimum value of Z is (-30) at (0,2).

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