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  • Explain solution RD Sharma class 12 chapter Linear Programming exercise 29.1 question 8 maths

Explain solution RD Sharma class 12 chapter Linear Programming exercise 29.1 question 8 maths

Answers (1)

Answer:   Max z=20 x+30 y

                  Sub to

\begin{aligned} &x+2 y \leq 30 \\ &6 x+3 y \leq 200 \\ &3 x+y \leq 60 \\ &5 x+4 y \leq 200 \\ &x \geq 0, y \geq 0 \end{aligned}

 

Hint:        Let x and  y in given condition.

 

Given:    

\begin{array}{|l|l|l|} \hline & \text { A } & \text { B } \\ \hline \text { Grinding } & 1 & 2 \\ \hline \text { Turning } & 3 & 1 \\ \hline \text { Assembling } & 6 & 3 \\ \hline \text { Testing } & 5 & 4 \\ \hline \end{array}

Solution:   Let x  Number of units A.

y Number of units B.

Objective function:

\operatorname{Max} z=20 x+30 y

                    Sub to

\begin{aligned} &x+2 y \leq 30 \\ &6 x+3 y \leq 200 \\ &3 x+y \leq 60 \end{aligned}

\begin{aligned} &5 x+4 y \leq 200 \\ &x \geq 0, y \geq 0 \end{aligned}

 

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