Linear Programming — Class 12 Maths Solution

exemplar sa SA NCERT,Exemp,Q.3,Page,250
Question

Maximise the function $Z = 11x + 7y$, subject to the constraints $x \le 3$, $y \le 2,x \ge 0$ and $y \ge 0$.

Step-by-step Solution

Maximise $Z = 11x + 7y$, subject to the constraints $x \le 3,y \le 2,x \ge 0,y \ge 0$.

The shaded region as shown in the figure as OABC is bounded

and the coordinates of corner points are (0,0),(3,0),(3,2) and (0,2), respectively.

figure

figure

Hence, Z is maximum at (3,2) and its maximum value is 47 .

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