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    Operations Research 1 Sta 314 HND 1

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    Operations Research

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    Operations Research 1 Sta 314 HND 1

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    Vwede
    21 views1 page
    Operations Research

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    OPERATIONS-RESEARCH-1-STA-314-HND-1

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    Operations Research

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    21 views1 page

    Operations Research 1 Sta 314 HND 1

    Uploaded by

    Vwede
    Operations Research

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 1

    LAGOS CITY POLYTECHNIC, IKEJA

    SCHOOL OF ENGINEERING AND APPLIED SCIENCE

    DEPARTMENT OF COMPUTER SCIENCE

    2018/2019 SEMESTER EXAMINATION

    COURSE TITLE: OPERATIONS RESEARCH I NO OF QUESTION: 6


    COURSE CODE: STA 314 TIME: ALLOWED:
    2HRS
    FOR WHOM: HND I CS FT
    1. (a) Explain at least five(5)
    INSTRUCTIONS: Definitions of Operational
    Answer any Research4
    (b) Describe the six(6) characteristics of Operational Research
    (c) What are the Methodology of Operational
    QuestionsResearch
    2. (a) What do you understand by Models andModel Building?
    (b) What are the purposes for which model can be constructed
    (c) Explain the advantages and disadvantages of Modelling
    3. (a) Why is Linear programming is widely use in OR
    (b) State the three (3) basic steps in constructing a Linear Programming
    (c) A tailor has the following material available, 16m2 cotton, 11m2silk, 15m2 wool.
    A suit requires the following 2m2, cotton, 1m2 silk, 1m2 wool. A gown requires
    the following 1m2 cotton, 2m2 silk, 3m2 wool. If a suit sells for N3000.00
    and a gown for N5000.00. How many of each garment should the tilor makes to
    abtain the maximum amount of money?
    4. (a) A person requires 10, 12, and 12 units of chemicals A, B, and C respectivelyfor
    his garden. A liquid products contain 5, 2 and 1 unit of a A, B and C
    respectively per jar and a dry product contains 1, 2, and 4 unit of A, B, and
    C respecively per carton. If the liquid product sells for N300 per jar andthe dry
    produce sell for N200 per carton. How many of each should he purchase to
    minimize the cost andmeet the requirement?
    Find the duel of the maximum problem?
    Maximum: f = 30x + 50y
    Subject to: 2x = y < 16
    X + 3y < 11
    X + 3y < 15
    X >, 0 y > 0
    5. (a) Solve this problem using Simplex Method
    Maximize: Z = 2 x 1 + 3 x 2 + x3
    Subject to: X1 + x2 + x3 < 9
    2x1 + 3x2 < 25
    X2 + 2x3 < 10
    6. Find the dual of the following LPP
    Max Z = x31 x2 + x3
    Subject to: 4x1 x2 < 8
    8x1 + x2 + 3x3 > 12
    5x1 6x3 < 13
    x1, x2, x3 > 0

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