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  • Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 1 maths textbook solution

Please solve RD Sharma class 12 chapter Linear Programming exercise 29.1 question 1 maths textbook solution

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Answer:

Max   x=30 x+20 y

Sub to    10 x+6 y \leq 1000

\begin{aligned} &5 x+4 y \leq 600 \\ &x, y \geq 0 \end{aligned}

Hint:   Let x  and  y  in given condition.

Given:  

\begin{array}{|l|l|l|} \hline \text { Gadget } & \text { Foundary } & \text { Machine-shop } \\ \hline \text { A } & 10 & 5 \\ \hline \text { B } & 6 & 4 \\ \hline \end{array}

Firm’s capacity per week   1000              600

Solution:  Let   x : Weekly production of gadget A

y : Weekly production of gadget B

Objective Functions:

Maximize, z=30 x+20 y

Subject to

\begin{aligned} &10 x+6 y \leq 1000 \\ &5 x+4 y \leq 600 \\ &x, y \geq 0 \end{aligned}

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