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  • Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 5 maths textbook solution

Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 5 maths textbook solution

Answers (1)

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Answer:   Min z=2500 x+3500 y


               Sub to

\begin{aligned} &50 x+60 y \geq 2500 \\\\ &100 x+60 y \geq 3000 \\\\ &100 x+200 y \geq 7000 \\\\ &x \geq 0, y \geq 0 \end{aligned}

Hint:         Let x\; and \; y in given condition.

Given:     

\begin{array}{|l|l|l|l|} \hline \text { Plant } & \text { A } & \text { B } & \text { C } \\ \hline I & 50 & 100 & 100 \\ \hline II & 60 & 60 & 200 \\ \hline \end{array}

Solution:    Let x Number of days require in plant I.

y Number of days require in plant II.

Objective function:

Min z=2500 x+3500 y

                  Sub to

\begin{aligned} &50 x+60 y \geq 2500 \\\\ &100 x+60 y \geq 3000 \\\\ &100 x+200 y \geq 7000 \\\\ &x \geq 0, y \geq 0 \end{aligned}

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