In an LP problem the inequalities 2X + Y ≤ 800 and X + 2Y ≤ 700, hold as binding constraints. The optimal solution is:
A) X = 300 and Y = 200.
B) X = 200 and Y = 300.
C) X = 100 and Y = 300.
D) X = 400 and Y = 0.
E) X = 200 and Y = 400.

Question

Quizplus · Accepted Answer

The optimal solution can be found by solving the system of equations formed by the given binding constraints: 2X + Y = 800 and X + 2Y = 700. Solving these equations simultaneously gives X = 300 and Y = 200.

In an LP Problem the Inequalities 2X + Y ≤