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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

Answers (1)

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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