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Noun (National open university) Live 2019 POP Exam questions
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[QUOTE="Guest, post: 3661"] NATIONAL OPEN UNIVERSITY OF NIGERIA University Village, 91 Cadastral Zone, Nnamdi Azikwe Expressway, Jabi, Abuja FACULTY OF SCIENCES April 2019 Examination COURSE CODE: CIT425 COURSE TITLE: Operations Research CREDIT: 3 Units TIME ALLOWED: 2½ Hours INSTRUCTION: Answer Question ONE (1) and any other FOUR (4) Questions Marking Guide 1a. . State four characteristics of Operation research and list any three limitations. (5 marks) b. Explain the term model in operations research (6 marks) d. Give four properties of linear programming model (LP). (4 marks) e. List the three important terms in Dynamic programming that you have leant. (3 marks) f. Give the steps for North-west Corner Methods. (4 marks) 2(a). Enumerate the types of models used in operations research. (9 marks) b. Explain Cutting Plane Algorithm. (3 marks) 3a. Give eight applications of Linear Programming to Business. (8 marks) b. Explain any four the assumptions of Linear Programming. (4 marks) 4. Solve the equation below: Min Z = - 4x1 + x2 + 2x3 Subject to 2x1 – 3x2 + 2x3 < 12 -5x1 + 2x2 + 3x3 > 4 3x1 – 2x3 = -1 x1, x2, x3 > 0 (12 marks) 5(a) Explain the steps that are involved in the formulation and solution of Dynamic programming. (10 marks) b. Explain Vogel’s Approximation Method as used in Linear Programming. (2 marks) 6. (a) [TABLE] [TR] [TD]Project[/TD] [TD="colspan: 3"]Investment during year[/TD] [TD]PV of expected return[/TD] [/TR] [TR] [TD] [/TD] [TD]1[/TD] [TD]2[/TD] [TD]3[/TD] [TD] [/TD] [/TR] [TR] [TD]P – 1[/TD] [TD]1000,000[/TD] [TD]600,00[/TD] [TD]500,00[/TD] [TD]800,00[/TD] [/TR] [TR] [TD]P – 2[/TD] [TD]500,000[/TD] [TD]200,00[/TD] [TD]400,00[/TD] [TD]700,00[/TD] [/TR] [TR] [TD]P – 3[/TD] [TD]300,000[/TD] [TD]250,00[/TD] [TD]350,00[/TD] [TD]400,00[/TD] [/TR] [TR] [TD]P – 4[/TD] [TD]400,000[/TD] [TD]300,00[/TD] [TD]260,00[/TD] [TD]300,00[/TD] [/TR] [TR] [TD]Funds for investment[/TD] [TD]18,00,000[/TD] [TD]10,00,000[/TD] [TD]800,000[/TD] [TD] [/TD] [/TR] [/TABLE] An investment consultant has four projects with different investments and present value of expected returns. Funds available for investment during the three proposal are also available. The detailed information regarding the project is as follows. Formulate an integer programming model for the consultant to make a decision as to which project should be accepted in order to maximize present value of expected return. (6 marks) b. A multinational Company (MNC) is planning to invest in four different projects in Business Process Outsourcing (BPO) industry in an important town of North. The details of the investment of MNC (in thousands of naira) are provided below: [TABLE] [TR] [TD]Project[/TD] [TD]Present value of expected returns[/TD] [TD="colspan: 3"]Capital requirement for three years[/TD] [/TR] [TR] [TD] [/TD] [TD] [/TD] [TD]1[/TD] [TD]2[/TD] [TD]3[/TD] [/TR] [TR] [TD]A[/TD] [TD]800[/TD] [TD]600[/TD] [TD]500[/TD] [TD]550[/TD] [/TR] [TR] [TD]B[/TD] [TD]550[/TD] [TD]900[/TD] [TD]400[/TD] [TD]-[/TD] [/TR] [TR] [TD]C[/TD] [TD]400[/TD] [TD]300[/TD] [TD]200[/TD] [TD]400[/TD] [/TR] [TR] [TD]D[/TD] [TD]250[/TD] [TD]400[/TD] [TD]150[/TD] [TD]100[/TD] [/TR] [TR] [TD]Funds available for investment[/TD] [TD]1500[/TD] [TD]1200[/TD] [TD]700[/TD] [TD]500[/TD] [/TR] [/TABLE] It is also know that projects A project C is acceptable due to technology constraints. Which project should the MNC accept to maximize their present value of expected returns and B are mutually exclusive? (6 marks) [/QUOTE]
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