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60</p> <p>3x + 4y<img XXX="\leq" src="XXXXX://XXXXX.XXXXXXXX.XXX/media/XXX/4381e281-XXXX-4913-a6e9-XXXXXXXXXXXX/3fa9b3f5-9839-XXXX-b79e-aaf944a2ad6b.png" XXXX-describedby="XXX" style="font: inherit; XXXXXXXX-XXXXX: XXXXXXXX; XXX-width: XXX%; height: auto;">XXX</p> <p>x<img alt="\XXX" XXX="https://XXXXX.cheggcdn.com/XXXXX/XXX/XXXXXXXX-85de-4b7a-XXXX-XXXXXXXXXXXX/XXXXXXXX-b1f9-XXXX-XXXX-XXXXXXXXXXXX.XXX" aria-describedby="XXX" style="XXXX: inherit; vertical-align: baseline; XXX-width: 100%; XXXXXX: auto;">X</p> <p>x,y<XXX XXX="\geq" src="XXXXX://XXXXX.cheggcdn.XXX/media/3c2/3c22946b-XXXX-4b7a-a59b-5cecfbb395b7/XXXXXXXX-b1f9-XXXX-XXXX-XXXXXXXXXXXX.XXX" XXXX-describedby="XXX" style="font: inherit; XXXXXXXX-align: XXXXXXXX; XXX-width: XXX%; height: XXXX;">X</p> <p>Here XXX Z = X(x + XX) XXXXX parallel XX XXXXXXXXXX x + XX<XXX alt="\leq" src="https://XXXXX.cheggcdn.com/media/XXX/XXXXXXXX-d8d0-XXXX-XXXX-01c4730399a0/XXXXXXXX-9839-XXXX-XXXX-XXXXXXXXXXXX.png" XXXX-XXXXXXXXXXX="fiu" style="font: inherit; XXXXXXXX-XXXXX: XXXXXXXX; max-width: 100%; height: auto;">XX</p> <p>XXXX XXXX L.X.X XXX more XXXX XXX solution.</p> <p><XXXXXX>XXXXXXXXXXXXX</strong></p> <p>x + 3y = 60</p> <table><tbody><tr><td>x</td><td>X</td><td>60</td></tr><tr><td>y</td><td>XX</td><td>0</td></tr></tbody></table> <p>XX + XX<XXX XXX="\XXX" src="https://media.cheggcdn.com/media/438/XXXXXXXX-d8d0-4913-XXXX-01c4730399a0/3fa9b3f5-XXXX-48fa-XXXX-XXXXXXXXXXXX.png" XXXX-describedby="fiu" style="XXXX: inherit; XXXXXXXX-XXXXX: XXXXXXXX; max-width: 100%; height: auto;">120</p> XXXXX XXXXXXXX XXXXX<table><tbody><tr><td>x</td><td>0</td><td>40</td></tr><tr><td>y</td><td>XX</td><td>0</td></tr></tbody></table><p>Corner point</p> <p>A = (5, 0)<img alt="\Rightarrow" XXX="https://XXXXX.cheggcdn.XXX/media/98e/98e0edd6-XXXX-4c69-a93e-XXXXXXXXXXXX/XXXXXXXX-90a6-4124-XXXX-XXXXXXXXXXXX.png" aria-describedby="XXX" style="font: inherit; XXXXXXXX-align: baseline; XXX-width: 100%; height: auto;">z = 10</p> <p>B = (5, XX.XX) <img XXX="\Rightarrow" XXX="https://media.cheggcdn.XXX/media/XXX/98e0edd6-ea00-XXXX-XXXX-XXXXXXXXXXXX/XXXXXXXX-XXXX-XXXX-XXXX-XXXXXXXXXXXX.XXX" aria-XXXXXXXXXXX="fj5" style="XXXX: inherit; XXXXXXXX-align: baseline; max-width: 100%; XXXXXX: auto;">X = XXX max</p> <p>X = (24, 12)<XXX alt="\Rightarrow" XXX="XXXXX://XXXXX.cheggcdn.com/media/98e/98e0edd6-XXXX-4c69-a93e-XXXXXXXXXXXX/fbc3befe-XXXX-4124-XXXX-XXXXXXXXXXXX.XXX" XXXX-XXXXXXXXXXX="fj5" style="font: inherit; XXXXXXXX-XXXXX: XXXXXXXX; max-width: 100%; height: auto;">z = 120 XXX</p> <p>D = (XX, X)<img XXX="\Rightarrow" XXX="XXXXX://media.cheggcdn.com/XXXXX/XXX/98e0edd6-ea00-4c69-a93e-XXXXXXXXXXXX/fbc3befe-90a6-XXXX-XXXX-XXXXXXXXXXXX.XXX" XXXX-XXXXXXXXXXX="XXX" style="XXXX: inherit; XXXXXXXX-align: baseline; max-width: 100%; XXXXXX: XXXX;">X = 80</p> <p>z = 120 is optimal XXXXXXXX XX (5, 18.33) & (XX, XX)</p><XX>XXXXXX 5 :</h5> <p>XXX XXXXXXX is XXXXXXXXX in XXXXXX XXXX the XX model XXXXXXXX assurance for XXXXXX XXXXXXXXXXX. XXX only assurance that an LP model XX XXX XXXXXXXXXX relationship between various variables and the XXXXXX to be XXXXXXXXX.</p> <p>In addition, XXX XXXX case XXXXXXXX or the XXXXXX XXXXXXXXXX to XXX XXXX XXXX may XX used XX XXXXXXXXX a XXXX defined LP model. The results of this XXXXXXXX XXXX XXXXX provide a good indicative XXXXXXXXX XXX operations XXXXXXXXXXXX.</p> <p>In order to XXXX XXXX of XXX uncertainty XXX variability, it XX XXXXXXXX to XXX a XXXXXX XX scenarios by XXXXXXX XXX XXXXXX XX the variables XXXXX would create XXXXXXXXX optimized values XXX different objective function values. XXXXXXXXX, a XXXXXXXXXXX of XXXXXXXX XXXXXXXX and XX analysis XXX be used to XXXXXX out a XXX of feasible XXXXXX XXXX XXX suitable at XXXXXXX XXXXXX.</p> <p>In addition, a XXXXXX LP model's sensitivity XXXXXXXXXXX in MS Excel XXXXXXXX the performance that XXXXX XXXXXX to such an XXXXXXXX. XXX XXXXXXX XXXX and the XXXXXXX or non-binding XXXXXXXXXXX XXXXXXXX in XXX XXXXXXXXXXX XXXXXXXX XXXXXXXXXXX XXX XXXXXX XX which those parameters can XX XXXXXX, XXXXXXX XXXXXXXXX XXX XXXXXXXX's XXXXXXXXXX.</p> <p>XXXX LP modeling XXX XX used XXXX well in XXXXXXXXXX where XXXXX is ambiguity to XXXXXXXXX a wide XXXXXXX XX optimal solutions, depending on XXX XXXXXXXXXX XXXXXXXXXX.</p><p><br></p>">
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