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  • Provide solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.1 question 14

Provide solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.1 question 14

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Answer:   x + y + z \leq 100
\begin{aligned} &5 x+6 y+5 z \leq 400 \\ &x, y, z \geq 0 \\ &x \leq y \end{aligned}

Hint: Let x and y  in given condition.

Given:  farmer has 100 - acre farm

Solution:

 So,x + y + z \leq 100  (First constraint)

Number of cultivation and harvesting days are 400

So,5 x+6 y+5 z \leq 400

Hence, mathematical formulation of LPP is,

Find x, y, z which maximize U = 1850x + 2080y + 1875z

Subject to constraint

\begin{aligned} &x+y+z \leq 100 \\ &5 x+6 y+5 z \leq 400 \\ &x, y, z \geq 0 \end{aligned}

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