Q. 1

Find the maximum value of Z = 7X + 7Y, subject to the constraints.

x 0, y 0, x + y 2 and 2x + 3y 6.

Answer :


The feasible region determined by the constraints x , ,


x + y , 2x + 3y 6 is given by



The corner points of the feasible region is A(0,2),B(2,0),C(3,0).


The values of Z at the following points is



The maximum value of Z is 21 at point C(3,0) .


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Range of Quadratic/quadratic & linear/Linear functions45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :