QUESTION SIXAIWrite the dual ofthe following LP problemMinimize Z = 3x, - 2x, + 4x3Subject to the constraints3x, + 5x, + 4x 276x, + x, + 3x, 2 47x, - 2x, -x, S 10X1- 2x, + 5x, 2 34x, + 7x, - 2x, 22B) Bolve the following LP problemMaximize Z = 650x, + 700x, + 225x, + 250x,Subject to the constraints700x, +850x, + 300x, + 350x, S 1200550x, +550x, + 150x, + 200x, < 700400x, + 350x, + 100x, < 400x, + x2 21-x3 + x,S1X1, X2, X31 X4 2 0; x,X2 Xg. X, integer

MIN Z = 3x1 - 2x2 + 4x3 Subject to 3x1 + 5x2 + 4x3 ≥ 7 6x1 + x2 + 3x3 ≥ 4 7x1 - 2x2 - x3 ≤ 10 x1 -…

Answered: QUESTION SIX AWrite the dual ofthe…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

1. Problem 13-14 (Algorithmic)The following profit payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature:State of NatureDecision Alternative S1 S2 S3d1 200 150 75d2 250 150 50The probabilities for the states of nature are P(s1) = 0.5, P(s2) = 0.3 and P(s3) = 0.2.a. What is the optimal decision strategy if perfect information was available? S1 : d2 S2 : d1 or d2 S3 : d1 b. c. What is the expected value for the decision strategy developed in part (a)? If required, round your answer to one decimal place. d. Using the expected value approach, what is the recommended decision without perfect information? d2 What is its expected value? If required, round your answer to one decimal place. e. What is the expected value of perfect information? If required, round your answer to one decimal place.
13 - Holden Corporation produces three products, with costs and selling prices as follows: Product AProduct BProduct C IS30 100 S20100SIS100 18 60 1S 75 e6 40 Contribution margin per unit12 40 P$5 25 $9 60 Selling price per unit Variable costs per unit A particular machine is the bottleneck. On that machine, 3 machine hours are required to produce cach unit of Product A, 1 hour is required to produce each unit of Product B, and 2 hours are required to produce cach unit of Product C. Rank the products from the most profitable to the least profitable use of the constrained resource (bottleneck). A) C, A, B B) A, C, B С) В, С, А D) B, A, C
PS.53 Brother I.D. Ricks is a faculty member at BYU-Idaho whose grandchildren live in Oklahoma and California. He and his wife would like to visit their grandchildren at least once a year in these states. They currently have one vehicle with well over 100,000 miles on it, so they want to buy a newer vehicle with fewer miles and that gets better gas mileage. They are considering two options: (1) a new subcompact car that would cost $24,000 to purchase or (2) a used sedan that would cost $18,000. They anticipate that the new subcompact would get 38 miles per gallon (combined highway and around town driving) while the sedan would get 25 miles per gallon. Based on their road tripping history they expect to drive 11,000 miles per year. For the purposes of their analysis they are assuming that gas will cost $3.44 per gallon. Question: How many miles would the Ricks need to drive before the cost of these two options would be the same? (Display your answer to the nearest whole number.) (Hint:…
Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the nature of the optimal solution. 5 Basic variables X1 Cbi X2 S1 S2 $3 Solution 1 -2 s1 S2 10 5 X2 -1 1 Zi 1.
L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C G
Question 28 Which of the following is NOT a corner point of the feasible region of max z = 3x + 2y subject to the following : 3x + 2y 2 6 2x + y s 10 2x + 3y < 15 x20 y2 0 O (0, 5) O (5, 0) (3.75, 2.5) O (25, 3.75)
The following is a payoff an Electronic Company's Product The State of Nate Decision Alternative 0.69 0.31 S2 D1 14 D2 13 D3 11 The Expected values for the payoff table as follows: E(D1= 5.72 EID2)= 11.45 EID3) 9.14 What should be the payoff value for the D2 under S1 to keep the solution.or Clek Sne and Sub to abeit Cliok Soella e all ao
Q1. General Appliance Corp. produces refrigerators at three plants: Marietta, Minneapolis and Phoenix. They ship them to major retail outlets in Chicago, Los Angeles and New York City. The accounting, production and marketing departments have provided the following information in the given tables; Plant capacities over the next planning period, retail outlet demand and unit cost of shipping between any plant and retail outlet. The company would like to minimize the cost of their transportation network by identifying how many units to ship between each plant and retail outlet. 1. Formulate this linear optimization problem by clearly listing the decision variables, objective function and constraints. 2. Create a spreadsheet model for this problem and solve it using Solver. What is the minimum cost? Plant Supply Marietta 1200 Minneapolis 800 Phoenix 1600 Retail Outlet Demand Chicago 650 Los Angeles 1450 New York City 1500…
Exhibit 1. Solver Sensitivity Report. A В E F H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$25 kg x1 $C$25 kg x2 9. 8. 300 200 300 10 4 500 1E+30 200 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease 15 ŞE$20 N 1320 600 720 1E+30 16 $E$21 P 1080 3.333333333 1080 1E+30 432 17 SE$22 K 60 13.33333333 60 90 60 Referring to Exhibit 1, if the right-hand side of the K constraint changes to 30, then the objective function value: will decrease by 13.3333 will decrease by 400. O will decrease by 133.3333. O will remain the same.
3. If the fiscally break-even value for a home is $300,000, and the land price is $350,000 per acre, the minimum lot size would be а. 1/4 аcre b. 1/3 асre c. 1/5 acre d. 1/6 acre
If the profit per unit on Tables (T) increases to $750 and simultaneously the profit per unit on Chairs (C) increases to $425, determine the new objective function value. Variable Cells Variable Name Value Cost T C Constraints 1 Number Name 2 Final Reduced Objective Allowable Allowable 3 Tables 18 0 Chairs 30 0 Coefficient Increase Decrease 720 395 Cleaning 1920 0 Fabric 4480 0.125 4480 Final Shadow Constraint Allowable Allowable 2080 90 Value Price R.H. Side Increase Decrease Testing 1600 0.188 1600 65 $26.250 O $27.690 O $1,440 Must recalculate. Change violated the 100% nule $24.810 1120 25 1E+30 80 40 160 160 320
Q: Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$5 consider Cake (C) 0 -0.5 4.5 0.5 1E+30 $C$5 consider Dozen Cookies (D) 10 0 10 1E+30 1 what does the value minus .5 for the reduced cost of C mean (other than it is the change in thevalue of the coefficient in the objective function so that the solution includes a positive amountof C)?

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS