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Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 17 maths textbook solution.

Answers (1)

Answer : (d) q=3p

Hint:

Find  z by the given corner points

Given:

Linear inequalities,

\\2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0 are (0,0),(5,0),(3,4) and (0,5)

Let z=p x+q y where, p, q>0

Solution :

Let's find z=p x+q y by the given corner points

Corner Points Value of z
(0,0) 0
(5,0) 5p
(3,4) 3p+4q

(0,5)

5q

Now comparing corner points (3,4) and (0,5)

\text {Value on }(3,4)=\text {value on}(0,5)

3\text{p}+4\text{q}=5\text{q}

3\text{p}=\text{q}

So, the correct option is (d)

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infoexpert23

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