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    (Yard) Group Assignment (Qantitative)

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    Agat
    1. The document contains 6 quantitative analysis problems involving linear programming and transportation problems. The problems involve minimizing costs, maximizing profits, and optimally allocating resources given constraints. 2. Graphical and algebraic methods like the simplex algorithm are provided to solve the linear programming problems formulated in the document. 3. The transportation problems involve finding the minimum cost to transport goods between suppliers and demand locations given a cost matrix. Methods like the northwest corner rule are applied.

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    (Yard) Group Assignment (Qantitative)

    Uploaded by

    Agat
    846 views2 pages
    1. The document contains 6 quantitative analysis problems involving linear programming and transportation problems. The problems involve minimizing costs, maximizing profits, and optimally allocating resources given constraints. 2. Graphical and algebraic methods like the simplex algorithm are provided to solve the linear programming problems formulated in the document. 3. The transportation problems involve finding the minimum cost to transport goods between suppliers and demand locations given a cost matrix. Methods like the northwest corner rule are applied.

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    (Yard) Group Assignment ( Qantitative)

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    1. The document contains 6 quantitative analysis problems involving linear programming and transportation problems. The problems involve minimizing costs, maximizing profits, and optimally allocating resources given constraints. 2. Graphical and algebraic methods like the simplex algorithm are provided to solve the linear programming problems formulated in the document. 3. The transportation problems involve finding the minimum cost to transport goods between suppliers and demand locations given a cost matrix. Methods like the northwest corner rule are applied.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    846 views2 pages

    (Yard) Group Assignment (Qantitative)

    Uploaded by

    Agat
    1. The document contains 6 quantitative analysis problems involving linear programming and transportation problems. The problems involve minimizing costs, maximizing profits, and optimally allocating resources given constraints. 2. Graphical and algebraic methods like the simplex algorithm are provided to solve the linear programming problems formulated in the document. 3. The transportation problems involve finding the minimum cost to transport goods between suppliers and demand locations given a cost matrix. Methods like the northwest corner rule are applied.

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    © All Rights Reserved
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    of 2

    YARDSTICK INTERNATIONAL COLLEGE

    QANTITATIVE ANALYSIS FOR MANAGEMENT DECISION


    GROUP ASSIGNMNET
    1. A company is making two products A and B. The cost of producing one unit of product A
    and B is $ 60 and $ 80 respectively. As per the agreement, the company has to supply at least
    200 units of product B to its regular customers. One unit of product A requires one machine
    hours whereas product B has machine hours available abundantly within the company. Total
    machine hours available for product A are 400 hours. One unit of each product A and B
    requires one labour hour each and total of 500 labour hours are available. The company
    wants to minimize the cost of production by satisfying the given requirement.
    A. Formulate the problem as a linear programming problem.
    B. Compute the solution using Graphic method
    2. Solve the following problem by simplex and Graphic method
    Maximise Z = 30x1 + 40x2
    Subject to, 60x1 + 120x2 < 12,000
    8x1 + 5x2 < 600
    3x1 + 4x2 < 500
    x1, x2 > 0
    3. Dorian makes luxury cars and jeeps for high-income men and women. It wishes to advertise
    with 1 minute spots in comedy shows and football games. Each comedy spot costs $50K and
    is seen by 7M high-income women and 2M high-income men. Each football spot costs
    $100K and is seen by 2M high-income women and 12M high-income men. How can Dorian
    reach 28M high-income women and 24M highincome men at the least cost?
    A. Formulate the problem as a linear programming problem.
    B. Compute the solution using Graphic method
    4. Powerco has three electric power plants that supply the needs of four cities. Each power plant
    can supply the following numbers of kwh of electricity: plant 1, 35 million; plant 2, 50
    million; and plant 3, 40 million. The peak power demands in these cities as follows (in kwh):
    city 1, 45 million; city 2, 20 million; city 3, 30 million; city 4, 30 million. The costs of
    sending 1 million kwh of electricity from plant to city is given in the table below. To
    minimize the cost of meeting each city’s peak power demand.
    A. Formulate a balanced transportation problem in a transportation tableau
    B. Find minimum transportation cost using Northwest corner, least cost and VAM methods
    5. Solve the following LLP by graphical method (5pt)
    Z max = 40X1 + 30X2
    Subject to:
    3x1 + x2 ≤ 12
    x1 + x2 ≤ 6
    5x1 + 3x2 ≤ 27
    X1 , X2 0
    6. Solve the following LLP by graphical method (5pt)
    Z min. : 50X1 + 80X2
    Subject to
    20X1 + 30X2 1400
    10X1 + 40X2 1200
    X1 , X2  0
    7. Find the assignment of salesmen to various districts which will result minimum cost.(5pt)

    Salesman District
    1 2 3 4
    A 16 10 14 11
    B 14 11 15 15
    C 15 15 13 12
    D 13 12 14 15

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