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  • Need solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.1 question 3

Need solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.1 question 3

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Answer:   Max z=3 x+2 y+4 z

100 \leq x \leq 150

                  Sub to
\begin{aligned} &4 x+3 y+5 z \leq 2000 \\\\ &2 x+2 y+4 z \leq 25000 \\\\ &100 \leq x \leq 150 \\\\ &y \geq 200 \\\\ &z \geq 50 \end{aligned}

Hint:        Let x,y and z in given condition.

Given:   Profits of A, B, C are Rs 3, Rs 2,  Rs 4.

    Product     Profit
    A     Rs 3
    B     Rs 2
    C     Rs 4

 

Solution:Let x Number of product A.

y Number of product B.

z Number of product C.

Objective function:

Max u=3 x+2 y+4 z

                 Sub to

\begin{aligned} &2 x+3 y+5 z \leq 2000 \\\\ &2 x+2 y+4 z \leq 2500 \end{aligned}


\begin{aligned} &y \geq 200 \\\\ &z \geq 50 \\\\ &y \geq 0, z \geq 0 \\\\ &100 \leq x \leq 150 \end{aligned}

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