Who can use this material?

Class 12 RD Sharma Chapter 29 Exercise 29.1 Solutions are specifically designed for CBSE students who want to get a better insight into the subject. It is exam-oriented and the best alternative for RD Sharma's book.

Does this material cover all topics from the chapter?

Yes, RD Sharma Class 12 Solutions Linear Programming Ex 29.1 contains answers from the RD Sharma book and covers all the topics to ensure the best outcome for students in exams.

Can I save time by preparing these solutions?

Students can refer to RD Sharma Class 12 Solutions Chapter 29 Ex 29.1 alongside the textbook to save time in their preparation as this material contains solved questions.

What is Linear Programming?

Linear programming involves the use of various calculations to get the best outcome in a situation. It is used in multiple scenarios like profit and loss, margin calculation, etc.

Can I find solutions to other exercises as well?

Students can find solutions to other exercises on Career360's website. They can search the chapter name and exercise number to see results for the relevant material.

RD Sharma Class 12 Exercise 29.1 Linnear Programing Solutions Maths

Updated on 25 Jan 2022, 02:52 PM IST

RD Sharma books are some of the most valuable sources available for CBSE maths. They are widely used all over the country and are trusted by many schools and faculties. They provide a good source of information by covering all concepts and giving relevant examples.

This Story also Contains

RD Sharma Class 12 Solutions Chapter29Linear Programming - Other Exercise
Linear Programming Excercise: 29.1
RD Sharma Chapter wise Solutions

Also Read - RD Sharma Solutions For Class 9 to 12 Maths

RD Sharma Class 12th Exercise 29.1 covers the chapter ‘Linear Programming’. This exercise contains 16 questions totally, of which 15 are Level 1 and one is Level 2. It covers the concept of formulating problems with different conditions, optimization problems, finding a maximum profit, minimum cost or minimum use of resources, etc. The various types of problems in linear programming. They are Transportation problems, Diet problems and manufacturing problems. The Level 1 questions are less complex and essential in understanding the basics of this chapter.

RD Sharma Class 12 Solutions Chapter29Linear Programming - Other Exercise

Linear Programming Excercise: 29.1

Linear Programming exercise 29.1 question 1

Answer:
Max $x=30 x+20 y$
Sub to $10 x+6 y \leq 1000$
$\begin{aligned} &5 x+4 y \leq 600 \\ &x, y \geq 0 \end{aligned}$
Hint: Let $x$ and $y$ in given condition.
Given:
$\begin{array}{|l|l|l|} \hline \text { Gadget } & \text { Foundary } & \text { Machine-shop } \\ \hline \text { A } & 10 & 5 \\ \hline \text { B } & 6 & 4 \\ \hline \end{array}$
Firm’s capacity per week 1000 600
Solution: Let $x$ : Weekly production of gadget A
$y$ : Weekly production of gadget B
Objective Functions:
Maximize, $z=30 x+20 y$
Subject to
$\begin{aligned} &10 x+6 y \leq 1000 \\ &5 x+4 y \leq 600 \\ &x, y \geq 0 \end{aligned}$

Linear Programming exercise 29.1 question 9

Answer: Min $z=50 x+25 y$
Sub to
$\begin{aligned} &2 x+3 y \leq 40 \\ &4 x+2 y \leq 50 \\ &x \geq 0, y \geq 0 \end{aligned}$
Hint: Let $x$ and $y$ in given condition.
Given: One unit of Food f1 and Food f2 cost Rs 50 and Rs 25 respectively.

Food	Cost
f1	Rs 50
f2	Rs 25

Solution: Let $x$ Daily requirements for a person vitamin A.
$y$ Daily requirements for a person vitamin B.
Objective function:
Min $z=50 x+25 y$
Sub to
$\begin{aligned} &2 x+3 y \leq 40 \\ &4 x+2 y \leq 50 \\ &x \geq 0, y \geq 0 \end{aligned}$

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