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

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

Answers (1)

Answer: 150 unit

Hint: Draw the graph

Given: Each pocket of Food P and Food Q contain 30g.

Solution: Let ‘x’ unit of Food P and ‘y’ unit of Food Q be made.

              Minimum,36x + 33y = z

              sub to contraits,

              \begin{array}{ll} 12 x+3 y \geq 240 & \Rightarrow 4 x+y \geq 80 \\ \end{array}        ....(i)

             \begin{array}{ll} 4 x+20 y \geq 460 & \Rightarrow x+5 y \geq 115 \\ \end{array}     .....(ii)

             \begin{array}{ll} 6 x+4 y \leq 300 & \Rightarrow x+2 y \leq 10 \end{array}     .......(iii)

                            Solving (ii) & (iii)

                                   x = 15, Q = 20

                

Points Value of z
\left ( 0,80 \right ) 240
\left ( 15,20 \right ) 150
\left ( 150,0 \right ) 900

                            Minimum of vitamin A= 150 units

                                                                                                                                                            

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