Chapter 3 Homework - Microsoft Excel 15.0 Sensitivity...

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Microsoft Excel 15.0 Sensitivity Report Worksheet: [Chapter 3 Homework.xlsx]5 Report Created: 2/5/2016 1:36:28 PM Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $E$2 Max R 500 0 5 7 1 $F$2 Max C 150 0 8 2 4.6666666667 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $G$5 Objective 725 0 900 1.00E+030 175 $G$6 Objective 300 3 300 100 166.66666667 $G$7 Objective 100 28 100 35 25
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R is regular gloves R C Maxmize C is catchers mitts Max 500 150 S.T. 5 8 Objective 3700 S.T. 1 1.5 725 <= 900 0.5 0.3333333333 300 <= 300 0.125 0.25 100 <= 100 Microsoft Excel 15.0 Sensitivity Report Worksheet: [Chapter 3 Homework.xlsx]5 Report Created: 2/5/2016 1:36:28 PM Variable Cells FinalReduced Objective Allowable llowable Cell Name Value Cost Coefficient IncreaseDecrease $E$2 Max R 500 0 5 7 1 $F$2 Max C 150 0 8 2 4.667 Constraints FinalShadow Constraint Allowable llowable Cell Name Value Price R.H. Side IncreaseDecrease $G$5 Objective 725 0 900 1.00E+030 175 $G$6 Objective 300 3 300 100 167 $G$7 Objective 100 28 100 35 25
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5R+8C A. R+(3/2)C <= 900 B. (1/2)R+(1/3)C <= 300 (1/8)R+(1/4)C <= 100 C. R,C >= 0 D. The optimal solution is 500 regular gloves and 150 caters mitts with a profit of $3,700 The second and third constrants are the binding constrants For the first constrait it's allowed to increase indifienly and there is no change no matter how much it increases. For the second constraint it's allowed to increase by 100 units with a shadow price increase of 3 per unit of increase. For the third constraint there is an allowed increase of 35 and with each increased unit the objective increases by 28. If overtime were to be scheduled I'd increase the 3rd constraint since it gives the highest shadow profit per increase.
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Microsoft Excel 15.0 Sensitivity Report Worksheet: [Chapter 3 Homework.xlsx]7 Report Created: 2/5/2016 1:59:59 PM Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $J$6 S.T. Portfolio risk index 800 0 3 7 0.5 $K$6 S.T. Max 1200 0 5 1 3.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $L$10 >= Objective 700 1.3333333333 700 75 300 $L$11 Objective 800 0 1000 1.00E+030 200 $L$9 US Oil Maximum Objective 80000 0.0933333333 80000 60000 15000
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U is shares of US oil Annual return $3 Sells for $25 Portfolio risk index H is shares of Huber Steel $5 $50 Max Max 3U+5H S.T. 800 1200 25U+50H <= 80,000 Funds Avaliable Max 3 5 .50U+.25H <= 700 Risk Maximum S.T. U <= 1000 US Oil Maximum 25 50 U,H >= 0 Non negative constraint 0.5 0.25 Microsoft Excel 15.0 Sensitivity Report Worksheet: [Chapter 3 Homework.xlsx]7 Report Created: 2/5/2016 1:59:59 PM Variable Cells Final Reduced Objective AllowableAllowable Cell Name Value Cost Coefficient Increase Decrease $J$6 S.T. Portfo 800 0 3 7 0.5 $K$6 S.T. Max 1200 0 5 1 3.5 Constraints Final Shadow ConstraintAllowableAllowable Cell Name Value Price R.H. Side Increase Decrease $L$10 >= Objecti 700 1.333333 700 75 300 $L$11 Objective 800 0 1000 1.0E+030 200 $L$9 US Oil Ma 80000 0.093333 80000 60000 15000
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0.5 Max 1000 shares US oil 0.25 80,000 to be invested 700 A Objective 8400 B.
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