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  • Explain Solution R.D.Sharma Class 12 Chapter 29 Linear Programming Exercise 29.3 Question 14 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 29 Linear Programming  Exercise 29.3 Question 14  Maths Textbook Solution.

Answers (1)

Answer: 440

Hint: Draw the graph

Given:  1 Kg of X costs ? 16 and 1Kg of Y costs ? 20.

Solution: Let ‘x’ unit of Food X and ‘y’ unit of Food Y

                 Minimum Z = 16x + 20y

                  sub to,

                 \begin{aligned} &x+2 y \geq 10 \\ \end{aligned}        ...(i)

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

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

               \begin{aligned} &3 x+y \geq 8 \end{aligned}        .....(iii)

      Solving (ii) & (iii),

                       x=1,y=5

        

Point Value of z
\left ( 0,8 \right ) 160
\left ( 2,4 \right ) 110
\left ( 1,5 \right ) 116
\left ( 10,0 \right ) 160

 

 Minimum cost = 160

                                                                    

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