KCET2018MathematicsLinear Programming

The feasible region of an LPP is shown in the figure. If ( z=3 x+9 y ), then the minimum value of z occurs at

Options

A( (5,5) )
B( (0,10) )
C( (0,20) )
D((15,15) )

Correct answer

A. ( (5,5) )

Step-by-step solution

Given that, ( z=3 x+9 y ) The least point is ( (5,5) ) [ array l So, z(5,5)=3(5)+9(5) =15+45=60 array ] Now take point ( (0,10) ). So, ( z(0,10)=3(0)+9(10)=90 ) Therefore, minimum value of ( z ) is at ( (5,5) )

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