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  • Explain solution RD Sharma class 12 chapter Linear Programming exercise 29.1 question 16 maths

Explain solution RD Sharma class 12 chapter Linear Programming exercise 29.1 question 16 maths

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Answer:    Max z=5 x+6 y

                   Sub to

\begin{aligned} &3 x+2 y \leq 130 \\ &2 x+3 y \leq 130 \\ &x, y \geq 0 \end{aligned}

Hint:         Let x and y  in given condition.

Given: 

      Product A  Product B Weekly capacity
    Department 1  3  2  130
    Department 2  4  6  260
    Selling price per unit  Rs 25  Rs 30  
    Labour cost per unit  Rs 16  Rs 20  
    Raw material cost per unit  Rs 4  Rs 4  

  

Solution:  Let x   number of unit’s product in department 1 and y  units in department 2.

Objective formula:

                   Max z=(25-16-4) x+(30-20-4) y

\Rightarrow z=5 x+6 y 

       Sub to

\begin{aligned} &3 x+2 y \leq 130 \\ &4 x+6 y \leq 260 \\ &\Rightarrow 2 x+3 y \leq 130 \\ &x, y \geq 0 \end{aligned}

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