Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The objective function 
, subject to 
has minimum value at the point
A
On 
-axis
-axis
B
On 
-axis
-axis C
At the origin
D
On the line parallel to 
-axis
-axis
Text Solution
Verified by ExpertsThe correct answer is:
A
: Converting the given inequations into equations, we get 
The feasible region is 
which is shaded in the figure. The vertices of the feasible region are 
, 
and 
.
The values of 
at these vertices are
Points | Value of |
14 | |
30 | |
27 | |
23 |
Minimum value 
at 
Hence, minimum value occurs on 
-axis.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In solving the LPP : "minimize subject to constraints , " redundant constraints are
The shaded part of given figure indicates the feasible region
then the constraints are
The objective function , subject to has maximum value of the feasible region.
The objective function of LPP defined over the convex set attains its optimum value at
The maximum value of subject to and is
For L.P.P., maximize subjecto , has