solve the LPP by graphical method max z=8x+5y subject to 2x+y≤50 x≤150 x≤250 &x,y ≥0 in graduation level
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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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