Name:1. Check if the solution is balanced or not. Then, use the northwest corner rule tofind the initial basic feasible solution.Destination123SupplyS15431002843300R9.7300CEDemand300200200

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Answered: 1. Check if the solution is balanced or…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 %3D using The Graphical Solution Method. a) Find the optimal solution, determine the solution type. b) Find the optimality range for the changes in the objective coefficient c2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one st. 3X1 + 2X2 < 12 Xị + 2X2 s 8 2X1 + X2 2 2 X1, X2 2 0 of the binding constraints.
6. Find the formulation for the coffee demand in Dubai. 7. Find the constraints will ensure that if Roaster A is selected then Roaster E cannot be selected.
Briefly explain these terms:a. Basic variableb. Shadow pricec. Range of feasibilityd. Range of optimality
Solve the following decision tree using the EMV rule and state the optimal strategy. B C .25 D 35 E 40 F 2 G 8 20 -50 H J K M N R 180 50 S 55 T 45 U 25 V 35 W S X 5 Y 4 Z 6 AA 3 BB 4 CC 3 300 100 10 80 -30 120 500 --200 150 100 50
1. Consider the decision table given below. Find which Profits NI N2 N3 N4 decision will be taken, as a function of c (a real number) according to a. Wald's criterion, Laplace's criterion, and Hurwicz's criterion (take a-0.6). b. Find the range(s) of c for which all three methods uniquely lead to same alternative. SI 3. 4 6. S2 2 4 S3 6. S4 6. 6
A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
9.2-6. Consider the transportation problem having the following parameter table: Plants respecti and 20 Th Destination 4 Supply mine the 1. 9. 20 30 30 20 to the re 8. 4 9. Source 7. minimiz (а) Fort 3. 6. 4(D) 0. 0. stru Demand (b) Use solu (c) Star tivel tima 25 25 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables, x= 20, 20. Continue the transportation simplex method for wo more iterations by hand. After two iterations, state whether the solution is optimal 25, 5, X2 =0, x – 0, 15 9.2-9. T systems The (1) electr ing. The and, if so, why. D1.9.2-7. Consider the transportation problem having the fol- 740O 20
26. XYZ and Co has provided the following data seeking your advice on optimum investment strategy: Net return data (in paise) Investment made at the of selected investments Amount beginning of year available (Lakh) 1 95 80 70 60 70 2 75 65 60 50 40 3 70 45 50 40 90 60 40 40 30 30 Маximum Investment (Lakh) 40 50 60 60 The following additional information is also provided: (i) P, Q, R and S represent the selected investments. (ii) The company has decided to have four-year investment plan. (iii) The policy of the company is that amount invested in any year will remain so until the end of the fourth year. (iv) The values (paise) in the table represent net return on investment of 7 1 till the end of the planning horizon (for example, a rupee invested in investment P at the beginning of first year will grow to { 1.95 by the end of the fourth year, yielding a return of 95 paise). Using the above, determine the optimum investment strategy. (CA, November, 1996)
Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆
2. Consider the transportation problem having the following parameter table (M is a big positive number) Source Demand 1 12345 2 3 5 1 2 3 343800 13 14 4 18 3 0 130940 Destination 4 5 22 29 18 21 M 3 5 26M940 16 M 11 24 34 19 23 11 4 6 Supply 0 ooooo 0 6 0 0 36 28 0 5 6 2 56743 (a) Use the northwest corner rule manually to obtain a complete initial BF solution, also find the objective value for this solution. How many basic variables are there in this solution? (b) Use Vogel's approximation method manually to select the first basic variable for an initial BF solution. (Attention, do not need to find an complete initial BF solution, just find the first BV for this initial BF solution)
2) Consider the game below: II 2, 3 3, 3 В 1,0 0, 1 M 0, 1 1,0 2.1) Using the above game, demonstrate that the order in which weakly eliminated strategies are eliminated in iterated elimination of weakly dominated strategies (IEWDS) can affect the final outcome. 2.2) Explain why the order of elimination in IESDS does not matter in the above game. 2.3) Explain why, in any game, any strategy that survives iterated elimination of weakly dominated strategies (IEWDS) will also survive iterated elimination of strictly dominated strategies (IESDS). Use formal reasoning and notation to make your answer as clear and precise as possible. =
1. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Based on the results of (iii) and (iv), which investment would you choose? 2. Compute the coefficient of variation, the return-to-risk ratio (RTRR) for each investment. Based on (vii) and (viii), what investment would you choose? Compare the results of (vi) and (ix) and explain any differences

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1. Check if the solution is balanced or not. Then, use the northwest corner rule to find the initial basic feasible solution. Destination 1 3 Supply 1 4 3 100 2 8 4 3 300 3 9. 7 5 300 C E Demand 300 200 200