RD Sharma Class 12 Exercise 29.2 Linnear Programing Solutions Maths - Download PDF Free Online

Linear Programming exercise 29.2 question 27

Answer: the maximum value of Z is 200
Hint: plot the point on the graph.
Given: maximize $z=20 x+10 y$
Solution: the given constraints are $x+2 y \leq 28,3 x+y \leq 24, x \geq 2, x, y \geq 0$
Converting the inequalities into equations, we obtain the following equations;
$x+2 y=28,3 x+y=24, x=0, y=0$
These equations represents straight lines in Xy palne
The line $x+2 y=28$ must coordinate axes at A(18, 0) and B(0, 14). Join these to obtain the line $x+2 y=28$ .
The line $3 x+y=24$ meets the coordinates axes at $A_{2}(0,0), B_{2}(0,24)$ join these points to obtain the line $3 x+y=24$ . The line $u=2$ is parallel to y-axis passes through the point $A_{2}(2,0)$
Also, $u=0$ is the y-axis and $y=o$ is the x-axis.the feasible region of the LPP is shaded
The point of intersection of lines $x+2 y=28,3 x+y=24$ is D(-1,12)
The point of intersection of line $u=2$ and $x+2 y=28$ R(2,0)
The coordinates of the corner points of the feasible region we have $A_{2}(0,0), B_{2}(0,24)$ the value of the objective function of these points are given in the following table;
$\begin{array}{|l|l|} \hline \text { Points } & \text { Values of the objective z } \\ \hline A_{2}(2,0), & z=20(3)+10(0)=40 \\ A_{2}(8,0) . & z=20(8)+10(0)=160 \\ Q(4,12) & z=20(4)+10(12)=200 \\ R(2,3) & z=20(2)+10(13)=170 \\ \hline \end{array}$
Clearly, the maximum value of Z is 200

Career360 provides RD Sharma Class 12th Exercise 29.2 solutions to ensure the proper preparation of students. As this material is updated to the latest version and complies with the CBSE syllabus, students can take advantage of it and study using this material. It contains step-by-step solutions that are detailed and easy to understand, even for students who face difficulty in Math.

Subject experts prepare RD Sharma Class 12th Exercise 29.2 material with years of experience with CBSE question papers. Moreover, as it covers the entire syllabus, students can refer to it if they have doubts in their class lectures. This is the best guide for students who want to cover all aspects of the subject and score good marks in exams.

As maths is a subject that requires a lot of practice, Career360 has provided essential questions that are based on fundamentals to help students prepare accordingly. The answers provided by RD Sharma Class 12th Exercise 29.2 material contain step-by-step explanations that are helpful to understand the concepts easily.

This chapter contains hundreds of sums, which is why it is not feasible for students to solve every one of them. Career360 has provided this material to help students cover their syllabus easily while saving time. These solutions are the best medium for preparation as they are simple and easy to understand. Students who face difficulty studying from RD Sharma textbook can refer to this material to simplify their learning.

Students can complete a fixed amount of sums every day to progress in their portion efficiently. This method will help them understand all concepts clearly while saving time for revision. RD Sharma Class 12th Exercise 29.2 material is available on Career360's website for students to access. It is entirely free, and all the solutions are available on the website. This makes it a convenient option for students to prepare for their exams from the comfort of their homes.