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  • Explain Solution R.D. Sharma Class 12 Chapter 29 Linear Programming Exercise 29.3 Question 15 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 29 Linear Programming  Exercise 29.3 Question 15  Maths Textbook Solution.

Answers (1)

Answer: 470 kg.

Given:

Solution: Let  x be the number of bags of band P and let y be the number of bags of band Q

                \begin{aligned} &z=3 x+\frac{7}{2} y \\ &x+2 y \geq 240 \\ &3 x+\frac{3}{2} y \geq 270 \\ &\frac{3}{2} x+2 y \leq 310 \\ &x \geq 0, \quad y \geq 0 \end{aligned}

                \begin{aligned} &2 x+y \geq 180 \\ &3 x+4 y \leq 620 \\ &x \geq 0, \quad y \geq 0 \end{aligned}

               

From the table, the amount of nitrogen is minimum when 40bags of Brand P and 100 bags of Brand Q are mixed

Thus, minimum amount of nitrogen is 470 kg.

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