Question

solve the Lpp by graphical method Max. z= 8x+5y. sub to 2x+ Y≤ 50 ; x ≤ 150 ;y≤250 ;& x, y≥0​

Answer 1

Given : 2x+y≤50 x≤150 x≤250 & x,y ≥0

To Find : max z=8x+5y

Solution:

2x+y≤50 x≤150 x≤250 &

x,y ≥0

2x+y≤50

=> x ≤25  , ≤50

points from graph

( 25 , 0)  , ( 0 , 50)

Z = 8x + 5y

( 25 , 0)   => 8 x 25 + 5(0) = 200

(0 , 50) => 8 * 0 +  5(50)  = 250

Hence maximum Z  when

x = 0

y = 50

and Z = 250

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Answer 2

Max z=8x+5y graphical method fears solve answer