basis. 3. 3 surplus variables‚ 3 artificials‚ and 4 variables in the basis. 4. 2 surplus variables‚ 2 artificials‚ and 3 variables in the basis. 5. - 16. For obtaining the solution of dual of the following Linear Programming Problem‚ how many slack and/or surplus‚ and artificial variables are required? Maximize profit = $50X1 + $120X2 subject to 2X1 + 4X2 ≤ 80 3X1 + 1X2 ≤ 60 1. Two slack variables 3 2. Two surplus variables 3. Two surplus
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Introduction to Management Science‚ 10e (Taylor) Chapter 4 Linear Programming: Modeling Examples 1) When formulating a linear programming problem constraint‚ strict inequality signs (i.e.‚ less than < or‚ greater than >) are not allowed. Answer: TRUE Diff: 2 Page Ref: Ch 2 review Main Heading: Formulation and Computer Solution Key words: formulation 2) When formulating a linear programming model on a spreadsheet‚ the measure of performance is located in the target cell.
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Operations Research CONTRIBUTERS: Prof. (Gp. Capt.) D.P. Apte Prof. (Gp. Capt.) Suhas Jagdale Prof. Anagha Gupte Anjali Mote MIT School of Business PGDM – 30th Batch Syllabus Subject Name: Operations Research Semester – II Subject Code: 203 Objective: Effective decision-making is the key to a manager’s success. Enhancement of productivity‚ optimum use of available resources and maximization of achievement of goals are important to the survival of an organization in today’s fiercely
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characteristics. [ 5 marks] b. Explain the nature of Operations Research and its limitations.[ 5 marks] 2. a. What are the essential characteristics of a linear programming model?[ 5 marks] b. Explain the graphical method of solving a LPP involving two variables.[ 5 marks] 3. a. Explain the simplex procedure to solve a linear programming problem. [ 5 marks] b. Explain the use of artificial variables in L.P [ 5 marks] 4. a. Explain the economic interpretation of dual variables. [ 5 marks]
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we are solving a 0-1 integer programming problem‚ the constraint x1 ≤ x2 is a conditional constraint. Answer Selected Answer: True Correct Answer: True • Question 2 If we are solving a 0-1 integer programming problem with three decision variables‚ the constraint x1 + x2 + x3 ≤ 3 is a mutually exclusive constraint. Answer Selected Answer: False Correct Answer: False • Question 3 If we are solving a 0-1 integer programming problem with three decision
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are x1 ≥0‚ x2 ≥0 Maximize the profit function: p = 3x1 + 5x2 2. What are the advantages of Linear programming techniques? Ans. Advantages— 1. The linear programming technique helps to make the best possible use of available productive resources (such as time‚ labour‚ machines etc.) 2. It improves the quality of decisions. The individual who makes use of linear programming methods becomes more objective than subjective. 3. It also helps in providing better tools for
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Time Elapsed | 59 minutes out of 1 hour. | Instructions | | Question 1 2 out of 2 points | | | Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem. Answer | | | | | Selected Answer: | True | Correct Answer: | True | | | | | Question 2 0 out of 2 points | | | ____________ solutions are ones that satisfy all the constraints simultaneously.Answer | | | |
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space or lot size. b) Decrease the money paid to employees. c) Refinance the loan at a lower rate. d) Charge more for your services. _____ 2) Which of the following is a valid objective function in linear programming? a) Max 5xy. b) Min 4x + 5y - (2/3)z. c) Max 4 x 2 + 6 Y 2. d) Min (x + y) / z. e) None of the above. ______3) The improvement in the
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Production & Operations Management–Homework 1 for Section 4 Due Tuesday October 16‚ 2012 1.1 Eastman publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation‚ textbook design‚ and production setup is estimated to be $80‚000. Variable production and material costs are estimated to be $3 per book. Demand over the life of the book is estimated to be 4‚000 copies. The publisher plans to sell the text to college
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1.48 4.5 - (1.32+0.36+0.85+0.65) = 1.32 0.3 5. 80‚000 pounds of grade "A" tomatoes are available at 8.5 cents per pound. (provided by the Vice president of operations) 6. Sale manager re-computes the marginal profits (Exhibit 3). Linear Programming Solutions (a) How to use the crop of 3‚000‚000 lbs. of tomatoes? (b) Whether to purchase an additional 80‚000 lbs. of A-grade tomatoes? Part (a) Formulation: WA = lbs. of A-grade tomatoes in whole. WB = lbs. of B-grade tomatoes in whole
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