Obj= 57.43 ANSWER: X1=9.43 X2=1.71 SolvethefollowingLPproblemgraphicallybyenumeratingthecornerpoints. MIN: 8X1+3X2 Subjectto: X2≥8 8X1+5X2≥80 Obj=48 ANSWER: X1=0 X2=16 SolvethefollowingLPproblemgraphicallybyenumeratingthecornerpoints. MIN: 8X1+5X2 Subjectto: 6X1+7X2≥84 X1≥4 Obj= 74.86 ANSWER: X1=4 X2=8.57 SolvethefollowingLPproblemgraphicallyusinglevelcurves. MAX: 5X1+3X2 Subjectto: 2X1−1X2≤2 6X1+6X2≥12 Obj= 11.29 ANSWER: X1=1.57 X2=1.14 SolvethefollowingLPproblemgraphicallyusinglevelcurves. MIN: 8X1+12X2 Subjectto: 2X1+1X2≥16 2X1+3X2≥36 Alternateoptimasolutionsexistbetweenthecornerpoints ANSWER: X1=9.6 X1= 18 X2=5.6 X2=0 SolvethefollowingLPproblemgraphicallyusinglevelcurves.
ANSWER: Obj= 57.43 X1=9.43 X2=1.71 SolvethefollowingLPproblemgraphicallybyenumeratingthecornerpoints. MIN: 8X1+3X2 Subjectto: X2≥8 8X1+5X2≥80 ANSWER: Obj=48 X1=0 X2=16 SolvethefollowingLPproblemgraphicallybyenumeratingthecornerpoints. MIN: 8X1+5X2 Subjectto: 6X1+7X2≥84 X1≥4 ANSWER: Obj= 74.86 X1=4 X2=8.57 SolvethefollowingLPproblemgraphicallyusinglevelcurves. MAX: 5X1+3X2 Subjectto: 2X1−1X2≤2 6X1+6X2≥12 ANSWER: Obj= 11.29 X1=1.57 X2=1.14 SolvethefollowingLPproblemgraphicallyusinglevelcurves. MIN: 8X1+12X2 Subjectto: 2X1+1X2≥16 2X1+3X2≥36 ANSWER: Alternateoptimasolutionsexistbetweenthecornerpoints X1=9.6 X1= 18 X2=5.6 X2=0 SolvethefollowingLPproblemgraphicallyusinglevelcurves.