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Solutions_hw2_ISE 170.docx - ISE 170- Spring 2022 Homework...

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ISE 170- Spring 2022Homework 2DueMarch3 , 2022- 3pmQuestion 1.Convert the following LP to standard form (augmented form)Minz=3x1+5x23x3s .t .x1+2x212x1+4x23x37x2+x3=2x13x1, x2, x30
Question2.Consider the following LPmax z =30x1+ 100xs.t.x1+ x24x1+ 10x24010x130x10, x20(a) Determine graphically the feasible region of the LP(b). Find the coordinates of all extreme (corner) points of the feasible region(c) Solve the LP obtained using graphical method. How many optimalsolutions does the LP have?27

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