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Need Solution for R.D.Sharma Maths Class 12 Chapter 29 Linear Progremming Exercise 29.3 Question 10 Maths Textbook Solution.

Answers (1)

Answer: 440

Hint: Draw the graph

Given: Food P costs ? 60Kg and Q costs ? 80Kg

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

             Minimize,

                      60x + 80y =z

            Sub to contraits,

                    \begin{aligned} &3 x+4 y \geq 8 \\ \end{aligned}            .....(i)

                    \begin{aligned} &5 x+2 y \geq 11 \\ \end{aligned}       ........(ii)

                              \begin{aligned} &x \geq 0, y \geq \frac{1}{2} \end{aligned}

                

Points

Min

\left ( 0,\frac{11}{2} \right )

440

\left ( 2,\frac{1}{2} \right )

160

\left ( \frac{8}{3},0 \right )

240

                            Minimum Cost =  440.

                                                                                                                                                                        

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