Chapter 4: Duality and Sensitivity Analysis Score: Name: Date: Section Exercise 4.4 2. Maximize: P = 30x1 + 80x2 %3D Subject to: X1


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Chapter 4: Duality and Sensitivity Analysis<br>Score:<br>Name:<br>Date:<br>Section Exercise 4.4<br>2. Maximize: P = 30x1 + 80x2<br>%3D<br>Subject to:<br>X1 < 300<br>x2 <150<br>xi + x2 <250<br>X1, x2 2 0<br>Final Simpiex Tableau<br>BV<br>S1<br>Sz<br>S3<br>P<br>RHS<br>X1<br>X2<br>S1<br>0.<br>0.<br>1<br>1<br>-1<br>200<br>X2<br>1<br>1<br>150<br>X1<br>1<br>0.<br>0.<br>-1<br>1<br>100<br>0.<br>0.<br>0.<br>50<br>30<br>1<br>15,000<br>Determine the range of optimality for each of the variables in the objective function.<br>Solution:<br>Computation for C:<br>Computation for C2:<br>Page 128<br>

Extracted text: Chapter 4: Duality and Sensitivity Analysis Score: Name: Date: Section Exercise 4.4 2. Maximize: P = 30x1 + 80x2 %3D Subject to: X1 < 300="" x2=""><150 xi="" +="" x2=""><250 x1,="" x2="" 2="" 0="" final="" simpiex="" tableau="" bv="" s1="" sz="" s3="" p="" rhs="" x1="" x2="" s1="" 0.="" 0.="" 1="" 1="" -1="" 200="" x2="" 1="" 1="" 150="" x1="" 1="" 0.="" 0.="" -1="" 1="" 100="" 0.="" 0.="" 0.="" 50="" 30="" 1="" 15,000="" determine="" the="" range="" of="" optimality="" for="" each="" of="" the="" variables="" in="" the="" objective="" function.="" solution:="" computation="" for="" c:="" computation="" for="" c2:="" page="">
Name:<br>Date:<br>Score:<br>Section Exercise 4.2A<br>Solve the primal problem using duality and determine the primal and dual solution.<br>1. Maximize: P 8x1 + 6x2<br>Subject to:<br>%3D<br>Minimize: C =<br>2x23<br>2x1 +x254<br>Subject to:<br>4xn S8<br>x1, x2 20<br>Solution:<br>Tableau 1<br>BV<br>yi<br>y2<br>ya<br>S1<br>S2<br>RHS<br>P<br>Tableau 2<br>BV<br>y1<br>y2<br>ys<br>S1<br>S2<br>RHS<br>Tableau 3<br>BV<br>y2<br>y3<br>Si<br>S2<br>P<br>RHS<br>yi<br>Si =<br>Dual Solution: yı =<br>%3D<br>S2 =<br>Primal Solution: x1D<br>Page 119<br>Chapter 4: Duality and Sensitivity Analysis<br>

Extracted text: Name: Date: Score: Section Exercise 4.2A Solve the primal problem using duality and determine the primal and dual solution. 1. Maximize: P 8x1 + 6x2 Subject to: %3D Minimize: C = 2x23 2x1 +x254 Subject to: 4xn S8 x1, x2 20 Solution: Tableau 1 BV yi y2 ya S1 S2 RHS P Tableau 2 BV y1 y2 ys S1 S2 RHS Tableau 3 BV y2 y3 Si S2 P RHS yi Si = Dual Solution: yı = %3D S2 = Primal Solution: x1D Page 119 Chapter 4: Duality and Sensitivity Analysis

Jun 08, 2022
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