Embibe Experts Solutions for Chapter: Linear Programming, Exercise 2: Exercise 2

The solution set of the following system of inequations $x+2y\le 3, 3x+4y\ge 12, x\ge 0, y\ge 1,$ is

A company manufactures two types of products $A$ and $B.$ The storage capacity of its godown is $100$ units. Total investment amount is $\mathrm{Rs} 30,000.$ The cost price of $A$ and $B$ are $\mathrm{Rs} 400$ and $\mathrm{Rs} 900$, respectively. Suppose all the products have sold and per-unit profit is $\mathrm{Rs} 100$ and $\mathrm{Rs} 120$ through $A$ and $B$, respectively. If $x$ units of $A$ and $y$ units of $B$ be produced, then two linear constraints and iso-profit line are respectively

Which of the following cannot be considered as the objective function of a linear programming problem?

In equation $y-x\le 0$ represents

Graph of the inequalities $x\ge 0, y\ge 0, 2x+3y\ge 6, 3x+2y\ge 6$ is

A printing company prints two types of magazines $A$ and $B.$ The company earns $\mathrm{Rs} 10$ and $\mathrm{Rs} 15$ on each magazine $A$ and $B$, respectively. These are processed on three machines $\mathrm{I},\mathrm{II} \&\hspace{0.17em}\mathrm{III}$ and total time in hours available per week on each machine is as follows:

Children have been invited to a birthday party. It is necessary to give them return gifts. For this purpose, it was decided that they would be given pens and pencils in a bag. It was also decided that the number of items in a bag would be at least $5.$ If the cost of a pen is $\mathrm{Rs} 10$ and cost of a pencil is $\mathrm{Rs} 5,$ minimize the cost of a bag containing pens and pencils. Formulation of LPP for this problem is

The linear inequations for which the shaded area in the following figure is the solution set, are