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Need Solution for R.D.Sharma Maths Class 12 Chapter 29 Linear Progremming Exercise 29.3 Question 9 Maths Textbook Solution.

Answers (1)

 Answer: 30

Hint: Draw the graph

Given: Cake made by 7.5Kg of flour and 600gm i.e 0.6Kg of fat

Solution: Let ‘x’ and ‘y’ unit of cakes made

              Maximum, z= x + y

 

               sub to,

               \begin{array}{r} 0.3 x+0.15 y \leq 7.5 \\ \end{array}

                        \begin{array}{r} =>3 x+15 y \leq 750 \\ \end{array}            ....(i)

                \begin{array}{r} 0.15 x+0.030 y \leq 0.6 \\ \end{array}

                        \begin{array}{r} =>15 x+30 y \leq 60 \\ \end{array}           .....(ii)

                                          \begin{array}{r} x \geq 0, y \geq 0 \end{array}

            Solving  (i) & (ii),

                         x=20,y=10

            

Points

Value of z

(0,20)

20

(20,10)

30

(25, 10)

25

               Minimum cost is ? 30.                                        

                                                                                                                    

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