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Need solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.1 question 15

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Answer:   Min z=400 x+200 y

                  Sub to

\begin{aligned} &5 x+2 y \geq 30 \\ &2 x+y \leq 15 \\ &x \leq y \\ &x \geq 0, y \geq 0 \end{aligned}

Hint:         Let x and y   in given condition.

Given:      ?400 in large van and ?200 in small van.

    Van     Cost
    Large     Rs 400
    Small     Rs 200

 

Solution:  Let the firm has  x  number of large vans and y   number of small vans.

Objective function:

Min z=400 x+200 y 

                  Sub to

\begin{aligned} &5 x+2 y \geq 30 \\ &2 x+y \leq 15 \\ &x \leq y \\ &x \geq 0, y \geq 0 \end{aligned}

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