Linear Programming - Algebra - Mathematics Previous Year Questions

The shaded region in the figure is the solution set of the inequations.

The feasible region of an LPP is shown in the figure. If \(z=11 x+7 y\), then the maximum value of \(Z\) occurs at

Corner points of the feasible region determined by the system of linear constraints are \((0,3),(1,1)\) and \((3,0)\). Let \(z=p x=q y\), where, \(p, q>0\). Condition on \(p\) and \(q\), so that the minimum of \(z\) occurs at \((3,0)\) and \((1,1)\) is

The shaded region is the solution set of the inequalities

A dietician has to develop a special diet using two foods \(X\) and \(Y\). Each packet (containing \(30 \mathrm{~g}\) ) of food. \(X\) contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Y contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium, atleast 460 units of iron and atmost 300 units of cholesterol. The corner points of the feasible region are

The corner points of the feasible region of an LPP are \((0,2),(3,0),(6,0),(6,8)\) and \((0,5)\), then the minimum value of \(z=4 x+6 y\) occurs at

The shaded region in the figure given is the solution of which of the inequations?

Corner points of the feasible region for an LPP are $(0,2),(3,0),(6,0),(6,8)$ and $(0,5)$. Let $Z=4 x+6 y$ be the objective function. The minimum value of $z$ occurs at

The maximum value of $\mathrm{z}=3 \mathrm{x}+4 \mathrm{y}$, subject to the constraints $\mathrm{x}+\mathrm{y} \leq 40, \mathrm{x}+2 \mathrm{y} \leq 60$ and $\mathrm{x}, \mathrm{y} \geq 0$ is

Consider the following statements:

Statement (I): In a LPP, the objective function is always linear.

Statement (II): Ina LPP, the linear inequalities on variables are called constraints. Which of the following is correct?