jnu

[neha 1]

consider the following optimization problems:
1. maximize f(x,y) subject to x-2y=1 and 3x+2y=11
2.minimize f(x,y) subject to x-2y=1 and 3x+2y=11
which of the following is true?
a. the 2 problems have the same solution
b. the solutions to the 2 problems are different
c. neither of the problems has a solution
d. nothing can be said about the solutions of the problems unless the objective function is completely specified

[Akshay Jain]

The two problems have the same solution because  the two constraints have only 1 intersection point say P= (x*,y*).
In this case we are optimizing the function f(x,y) with a feasible constraint set, which is just a
 single point P.

[ar]