RD Sharma Class 12 Exercise FBQ Linnear Programing Solutions Maths

Q: Will I suitably refer to the rd Sharma class 12 chapter 29 FBQ pdf?

Without a doubt, simply a singular tick is satisfactory to refer to RD Sharma class 12 chapter 9 pdf from our webpage Career360.

Q: What are the benefits of this material?

This material contains solutions from the Adi Sharma book that are created by experts and are easy to understand. Students can use it to prepare and score good marks in exams.

Q: Can RD Sharma class 12 help solve homework?

This material covers the entire syllabus and contains step-by-step solutions for answers which makes it very helpful for homework completion.

Q: Is the RD Sharma class 12 of the latest version?

Yes, this material is updated to the latest version of the book which means students can find the latest questions available.

Q: Where can I access these solutions?

Students can access the solutions from career360's website free of cost.

RD Sharma Class 12 Exercise FBQ Linnear Programing Solutions Maths - Download PDF Free Online

Edited By Lovekush kumar saini | Updated on Jan 25, 2022 02:51 PM IST

RD Sharma books are considered to be the benchmark of maths textbooks. This is because they have a strong reputation for being highly informative and detailed. This is why many schools follow RD Sharma textbooks to set up the question papers and for class lectures. In addition, RD Sharma class 12th exercise FBQ material is explicitly designed for students who want to get more insight on the subject and score good marks in exams.

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RD Sharma Class 12 Solutions Chapter29 FBQ Linear Programming - Other Exercise
Linear Programming Excercise: 29 FBQ
RD Sharma Chapter wise Solutions

RD Sharma class 12 chapter 29 exercise FBQ material consists of 15 fill-in-the-blank questions based on fundamentals. RD Sharma solutions Linear Programming FBQ cover topics like LPP, finding optimal solution coordinates, maximum value, linear inequalities, etc.

RD Sharma Class 12 Solutions Chapter29 FBQ Linear Programming - Other Exercise

Linear Programming Excercise: 29 FBQ

Linear Programming exercise Fill in the blanks question 1

Answer:

In a LPP, the objective function is always linear.
Hint:
For this type of question, we should know about the properties of linear programing, objective function and objective constraints.
Given:
In a LPP, the objective function is always ____
Solution:
We have given any linear programming and we have to tell, if the objective function and objective constraints are solve or linear or quadratic or adjacent
There are some properties present in a linear programming problems like any linear programming problems must have the relationship between variables and constraints must be linear.
The constants must be non-negative that it is always a positive value.
So, In a LPP, the objective function is always linear.

Linear Programming exercise Fill in the blanks question 2

Answer:

The feasible region for an LPP is always a convex polygon

Hint:

We have to be known the properties of polygon

Given:

The feasible region for an LPP is always a ______ polygon.

Solution:

In a convex polygon, all the interiors are $< 180^{\circ}$

In a concave polygon, in which at least one angle is more than $180^{\circ}$

So, the feasible region for an LPP is always a convex polygon.

Linear Programming exercise Fill in the blanks question 5

Answer:

A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.
Hint:
Draw the lines
Given:
A corner point of a feasible region is a point in the region which is the _____ of two boundary lines.
Solution:
Let’s draw a line

We observe that we get the corner points after the intersection of the two boundary lines.
So, a corner point of a feasible region is a point in the region which is the intersection of two boundary line.

Linear Programming exercise Fill in the blanks question 8

Answer:

Maximum value=140
Hint:
Form the constraints coordinates (x,y)
Given:
The maximum value of $z=3x+4y$ subject to constraints $x+y\leq 40$ , $x+2y\leq 60$ , $x\leq 0$ , $y\leq 0$ is _____
Solution:

From the constraints
$x+y\leq 40$
$x+y= 40$ … (i)

x	0	40
y	40	0

$x+2y\leq 60$
$x+2y= 60$ …..ii

x	0	60
y	30	0

Here,
$\begin{aligned} &x+y=40 \\ &x=40-y \end{aligned}$
Put $x=40-y$ in (ii)
$\begin{aligned} &40-y+2 y=60 \\ &40+y=60 \\ &y=20 \\ &\therefore x=20 \end{aligned}$
Now,
$\begin{aligned} &z=3 x+y \\ &A(20,20)=3(20)+4(20)=140 \\ &B(40,0)=3(40)+0=120 \\ &C(0,0)=0 \\ &D(0,30)=4(30)=120 \end{aligned}$
Therefore, maximum value =140 at (20,20)

Linear Programming exercise Fill in the blanks question 13

Answer:

In an LPP, the linear function which has to maximised or minimized is called a linear Objective function
Hint:
First know the LPP properties
Given:
In an LPP, the linear function which has to maximised or minimized is called a linear _____ function.
Solution:
In an LPP, the linear function which has to maximised or minimized is called a linear objective function.
Because, LPP is solved on the basis of objective and find its optimal solution. It cannot be constraints because it defined feasible region.
So, in an LPP, the linear function which has to minimised or maximized is called a linear objective function.

As maths is a lengthy subject consisting of hundreds of questions, it gets difficult for students to cope up and remember every concept. This material is designed specifically to help students gain more knowledge on the subject. The benefits of RD Sharma class 12th exercise FBQ solutions are:

RD Sharma class 12 chapter 29 exercise FBQ material is created by experts and is exam-oriented. Every answer is easy to understand because it includes step-by-step solutions, making it less complex for students.
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The RD Sharma class 12th exercise FBQ material can be accessed through Career360's website for free.

RD Sharma Chapter wise Solutions

Frequently Asked Question (FAQs)

1. Will I suitably refer to the rd Sharma class 12 chapter 29 FBQ pdf?

Without a doubt, simply a singular tick is satisfactory to refer to RD Sharma class 12 chapter 9 pdf from our webpage Career360.

2. What are the benefits of this material?

This material contains solutions from the Adi Sharma book that are created by experts and are easy to understand. Students can use it to prepare and score good marks in exams.

3. Can RD Sharma class 12 help solve homework?

This material covers the entire syllabus and contains step-by-step solutions for answers which makes it very helpful for homework completion.

4. Is the RD Sharma class 12 of the latest version?

Yes, this material is updated to the latest version of the book which means students can find the latest questions available.

5. Where can I access these solutions?

Students can access the solutions from career360's website free of cost.