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Provide Solution For  R.D. Sharma Maths Class 12 Chapter 30 Linear Programming   Exercise 29 .3 Question 6 Maths Textbook Solution.

Answers (1)

Answer: 104

Hint: Draw the graph and find plane

Given: 1 unit of F1 contain 4 unit and F2 contain 6 unit of mineral.

Solution: Let ‘x’ units of F_{1}  and ‘y’ unit of F2 in the food.

               Minimum z=4x+6y     ......(i)

                             3x+6y\geq 30   ......(ii)

                             4x+3y\geq 100......(iii)

                            x\geq 0,y\geq 0    ......(iv)

               Solving (i) & (ii)

                           x=24,y=4/3

                    

Points Value of z
\left ( 80/3,0 \right ) 320/3
\left ( 24,4/3 \right ) 104
\left ( 0,100/3 \right ) 200

                               Minimum cost: 104

                                                                                                                  

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