MCQ_SINGLE

For a Linear Programming Problem (LPP), the given objective function is $Z = x + 2y$. The feasible region PQRS determined by the set of constraints is shown as a shaded region in the graph. Which of the following statements is correct ?

SA

Solve the following linear programming problem graphically: Maximise $Z=x+2y$ Subject to the constraints: $x-y\ge0$, $x-2y\ge-2$, $x\ge0$, $y\ge0$.

MCQ_SINGLE

A linear programming problem deals with the optimization of a/an:

VSA

In a Linear Programming Problem, the objective function $Z=5x+4y$ needs to be maximised under constraints $3x+y\le6$, $x\le1$, $x, y\ge0$. Express the LPP on the graph and shade the feasible region and mark the corner points.

SA

Consider the Linear Programming Problem, where the objective function $Z=(x+4y)$ needs to be minimized subject to constraints $2x+y\ge1000$, $x+2y\ge800$, $x,y\ge0$. Draw a neat graph of the feasible region and find the minimum value of Z.

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