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  • Please Solve R.D.Sharma class 12 Chapter 29 Linear Programming Exercise 29.3 Question 3 Maths Textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 29 Linear Programming Exercise 29.3 Question 3 Maths Textbook Solution.

Answers (1)

    Answer: 0.11

     Hint: Draw a graph

Solution:  Let ‘x’ unit of Food I and ‘y’ unit of Food II are required.

               Minimum: z= 0.6x +1y                                       

               sub to,

                      \begin{aligned} &10 x+4 y \geq 20 \\ \end{aligned}                        

                   \begin{aligned} \Rightarrow &5 x+5 y \geq 10 \\ \end{aligned}......(i)

                        \begin{aligned} &5 x+6 y \geq 20 \\ \end{aligned}.....(ii)

                        \begin{aligned} &2 x+6 y \geq 12 \\ \end{aligned}

                   \begin{aligned} &\Rightarrow \quad x+3 y \geq 6 \end{aligned}......(iii)

                   Solving (i) & (ii)

                            x=1, y=1 / 2

                  Solving (ii) & (iii)

                           x=8 / 3, y=10 / 9

                  

Points Value of z
(0,5) 5
(5,1/2) 0.11
(8/3,10/9) 2.1
(6,0) 0.66

Minimum,z=0.11

                                                                    

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