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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

Answers (1)

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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