Minimize and maximize Z=x+2y subject to constraints are x+2y≥100,2x−y≥0,2x+y≤200 and x,y≥0.
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Solution
Z=x+2y,4 constrats are, x+2y≥100 2n−y≤0 2x+y≤2 x,y,≥0 we have of draw the 3 linear so,at point (0,200)z\rightarrow man frompoint(0,\frac { 1 }{ 2 } to(\frac { 1 }{ 5 } ,\frac { 2 }{ 5 } )$ z is min.