The feasible region for LPP is shown shaded in the adjacent figure. The minimum value of objective function $Z=2x+y $ is :

(Given :A= (8, 0), B= (6 , 1), C= (1, 6), D= (0, 9)

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$\text{Given objective function } Z=2x+y.$

$\text{Corner points of feasible region:}$

$A(8,0):\; Z=2(8)+0=16.$

$B(6,1):\; Z=2(6)+1=13.$

$C(1,6):\; Z=2(1)+6=8.$

$D(0,9):\; Z=2(0)+9=9.$

$\text{Minimum value of }Z=8.$

$\text{Minimum value of objective function }Z=8.$