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Provide solution for RD sharma maths class 12 chapter 29 Linear Programming exercise Fill in the blanks question 6

Answers (1)

Cannot be determined

Hint:

Maximise and puts the point on the graph

Given:

The maximum value of z=4x+2y subject to the constraints 2x+3y\leq 18,x+y\leq 1,x\geq 0,y\geq 0 is ______

Solution:

Let’s maximise

2x+3y\leq 18,x+y\leq 10,x,y\geq 0,

2x+3y\leq 18

x 0 9
y 6 0

x+y\leq 10

x 0 10
y 10 0

Putting (0,0) in the given line

0\leq 18 (True)

Again,

0\geq 10 (Not true)

We are not getting any common region that’s why it cannot be determined

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