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Given the following linear programming model:

minimize Z=8.2x1+7.0x2+6.5x3+9.0x4

subject to

  6x1+2x2+5x3+7x4

>= 820

   x1/(x1+x2+x3+x4)

>= 0.3

(x2+x3)/(x1+x4)

<= 0.2

x3

>= x1+x4

x1,x2,x3,x4

>=0

transform the model into standard form and solve by using the computer (solver)

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