D how much will the value of the optimal solution

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d.How much will the value of the optimal solution improve if 20 extra hours of packaging and shipping time are made available?
Variable CellsModel VariableNameFinal ValueReduced CostObjective CoefficientAllowable IncreaseAllowable DecreaseRGloves Standard500.0000.0005.0007.0001.000CGloves Deluxe150.0000.0008.0002.0004.667ConstraintsConstraintNumber NameFinal ValueShadow PriceConstraintR.H. SideAllowable IncreaseAllowable Decrease1Cutting and dyeinghours used725.0000.000900.0001E+30175.0002Finishing hours used300.0003.000300.000100.000166.6673 packaging and shipping hours used100.00028.000100.00035.00025.000Problem #7Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The annual return for U.S. Oil is $3 per share and the annual return for Huber Steel is $5 per share. U.S. Oil sells for $25 per share and Huber Steel sells for $50 per share. The portfolio has $80,000 to be invested. The portfolio risk index (0.50 per share of U.S. Oil and
Quantitative Methods Individual Assignment Week 760.25 per share of Huber Steel) has a maximum of 700. In addition, the portfolio is limited toa maximum of 1000 shares of U.S. Oil. The linear programming formulation that will maximize the total annual return of the portfolio is as follows:Max 3U + 5H Maximize total annual returns.t. 25U + 50H ≤ 80,000 Funds available0.50U + 0.25H ≤ 700 Risk maximum1U ≤ 1000 U.S. Oil maximumU, H ≥ 0The sensitivity report for this problem us shown in Figure 8.15Variable CellsModel VariableNameFinal ValueReduced CostObjective CoefficientAllowable IncreaseAllowable DecreaseUU.S. Oil800.0000.0003.0007.0000.500HHuber1200.0000.0005.0001.0003.500ConstraintsConstraintNumber NameFinal ValueShadow PriceConstraintR.H. SideAllowable IncreaseAllowable Decrease1Funds available80000.000.09380000.00060000.00015000.0002Risk maximum700.0001.333700.00075.000300.0003 U.S. Oil maximum800.0000.0001000.0001E + 30200.000a.What is the optimal solution, and what is the value of the total annual return?
Quantitative Methods Individual Assignment Week 77

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