solve asap with explanation and get multiple upvotes |Consider the LP problem in Figure QP2.5 and refer to the Solver sensitivity report in Figure QP2.6.Min z = x1+ X2s.t.X152X2 2 1X1 2 0X2 2 0X1 – X2 2 0 (C1)(C2)(C3)(C4)(C5)Figure QP2.5|A B6 Variable CellsDEFH7Final Reduced Objective Allowable AllowableCoefficient Increase1E+301E+308CellNameValueCostDecrease$B$11 Solution x1SC$11 Solution x211101121112 Constraints13FinalShadow Constraint Allowable Allowable14CellNameValuePriceR.H. SideIncreaseDecreaseSD$5 C1 LHS$D$6 C2 LHS|$D$7 C3 LHS151116121E+30117211Figure QP2.6In which cell to find the shadow price of constraint C1?E9O F15F9Ο Ε15

Given- Sensitivity analysis report-

Consider the LP problem in Figure QP2.5 and refer to the Solver sensitivity report in Figure QP2.6. Min z = x1 + xX2 s.t. X1 – X2 2 0 (C1) X152 X2 2 1 X1 2 0 X2 2 0 (C2) (C3) (C4) (C5) Figure QP2.5 A B 6 Variable Cells D F G H 7 Final Reduced| Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease |SB$11 Solution x1 SC$11 Solution x2 1E+30 1E+30 9. 10 2 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease SD$5 C1 LHS SD$6 C2 LHS SD$7 C3 LHS 15 1 1 1E+30 1 1 16 1 2 17 1 1 Figure QP2.6 In which cell to find the shadow price of constraint C1? O E9 O F15 O F9 E15 8.

Consider the LP problem in Figure QP2.5 and refer to the Solver sensitivity report in Figure QP2.6. Min z = x1 + xX2 s.t. X1 – X2 2 0 (C1) X152 X2 2 1 X1 2 0 X2 2 0 (C2) (C3) (C4) (C5) Figure QP2.5 A B 6 Variable Cells D F G H 7 Final Reduced| Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease |SB$11 Solution x1 SC$11 Solution x2 1E+30 1E+30 9. 10 2 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease SD$5 C1 LHS SD$6 C2 LHS SD$7 C3 LHS 15 1 1 1E+30 1 1 16 1 2 17 1 1 Figure QP2.6 In which cell to find the shadow price of constraint C1? O E9 O F15 O F9 E15 8.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...

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If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.
4. What is the optimized Z value for this following LP problem? Minimize Z= 3x + 10y, subject to (1) 2x + 4y ≤ 12 and (2) 5x + 2y ≥ 10 and (3) x, y ≥ 0. Answer: ______________
Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700
Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 8x + 9y + 3z subject to 2x + 7y + 8z ≤ 100 6x + 3y + z ≤ 160 3x + 4y + 9z ≤ 10 .
The LP relationships that follow were formulated by Richard Martin at the Long Beach Chemical Company. Maximize 4X1+12X1X2+5X3 Subject to: 2X1X2+2X3≤70 (C1) 10.9X1−4X2≥15.6 (C2) 10X1+3X2+3X3≥21 (C3) 16X2−13X3=17 (C4) −4X1−X2+4X3=5 (C5) 7X1+2X2+3X3≤80 (C6) For an LP, the objective function developed by Richard is (valid or onvalid) . Constraint C1 is a(n) (valid or onvalid) LP constraint. Constraint C2 is a(n) (valid or onvalid) LP constraint. Constraint C3 is a(n) (valid or onvalid) LP constraint. Constraint C4 is a(n) (valid or onvalid) LP constraint. Constraint C5 is a(n) (valid or onvalid) LP constraint. Constraint C6 is a(n) (valid or onvalid) LP constraint.
009. from: small and medium. There are two flavors to choose from: chocolate and strawberry. There are two toppings to choose from: cherries and nuts. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. Size small medium Flavor chocolate strawberry chocolate strawberry (a) How many outcomes are there? 8 outcome(s) Topping cherries nuts cherries nuts cherries nuts cherries nuts Outcome (small, chocolate, cherries) (small, chocolate, nuts) (small, strawberry, cherries) (small, strawberry, nuts) (medium, chocolate, cherries) (medium, chocolate, nuts) (medium, strawberry, cherries) (medium, strawberry, nuts) (b) How many outcomes do not have chocolate ice cream being chosen? outcome(s) (c) How many outcomes have both strawberry ice cream and cherries being chosen? outcome(s)
SOLVE THE LPP - SIMPLEX METHOD Max.: P= 30x1 + 70x2 S.t.: x1 + 2x2 ≤ 20 x1 +5x2 ≤ 35 x1 and x2 ≥ 0
A small manufacturing firm collected the following data on advertising expenditures A (in thousands of dollars) and total revenue R (in thousands of dollars). (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables.(b) The quadratic function of best fit to these data isR(A) = - 7.76A2 + 411.88A + 942.72Use this function to determine the optimal level of advertising.(c) Use the function to predict the total revenue when the optimal level of advertising is spent.(d) Use a graphing utility to verify that the function given in part (b) is the quadratic function of best fit.(e) Use a graphing utility to draw a scatter diagram of the data and then graph the quadratic function of best fit on the scatter diagram.
Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7ySubject to:2x + y ≤ 40x + 3y ≤ 30x, y ≥ 0 What is the entering variable and leaving variable in Table 2? a. Entering Variable: x and Leaving Variable: S2 b. Entering Variable: y and Leaving Variable: S2 c. Entering Variable: y and Leaving Variable: S1 d. Entering Variable: x and Leaving Variable: S1
Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 11 4 $B$3 Product_2 175 0 25 12 14 $B$4 Product_3 0 −1.5 25 8 5 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 multiple choice Product_1 Product_2 Product_3
Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below: Year XT PC Sales Revenue($’000,000) All Industry PC Sales Revenue($’000,000,000) 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 Required:A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect). B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?C. Advise management at Integrated Products Corporation (IPC) which of the twosales estimates from parts A and B above…
Integrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below: Year XT PC Sales Revenue($’000,000) All Industry PC Sales Revenue($’000,000,000) 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 Required: A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect).B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?