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  • Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 13 maths textbook solution

Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 13 maths textbook solution

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Answer:   Max z=5 x+4 y+6 z

                  Sub to

\begin{aligned} &x+y+z \leq 100 \\ &3 x+2 y+4 z \leq 210 \\ &3 x+2 y \leq 150 \\ &x, y \geq 0 \end{aligned}

Hint:         Let x and y  in given condition.

Given: The required average 3 minutes to 5 point problem, 2 minutes to 4 point problem. 6 minutes to 6 point problem

\begin{array}{|l|l|} \hline \text { Time (in min) } & \text { Number of points } \\ \hline 3 & 5 \\ \hline 2 & 4 \\ \hline 6 & 6 \\ \hline \end{array}

Solution:  Let x  be the number of 5 point problem.

y  be the number of 4 point problem.

z  be the number of 2 point problem.

Objective function:

                  Max z=5 x+4 y+6 z

                  Sub to

\begin{aligned} &x+y+z \leq 100 \\ &3 x+2 y+4 z \leq 210 \\ &3 x+2 y \leq 150 \\ &x, y \geq 0 \end{aligned}

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