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  • Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 20 maths textbook solution.

Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 20 maths textbook solution.

Answers (1)

Answer: (d) any point on the line segment joining the points (0,2)and (3,0)

Hint: Put the corners on \text {z = 4x + 6y}

Given: Corner points of the feasible region for an LPP are (0,2),(3,0),(6,0),(6,8),(0,5)

Let  \text {z = 4x + 6y}

Solution:

Let’s put the corners on \text {z = 4x + 6y}

Corner points Corresponding value of  \text {z = 4x + 6y}
(0,2) 12 (minimum)
(3,0) 12 (minimum)
(6,0) 24
(6,8) 72 (maximum)
(0,5) 30

The maximum value of  z occurs at any point on the line segment joining the points (0,2) and (3,0)

So, the correct option is (d)

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