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    Mathematics - Linear Operators - QM

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    Slixtrix Conversions, located in Waldo, Florida specializes in conversions of pick-up trucks and vans. In particular, they do a very good business in their signature line of each.

    The business has three production shops which, using good project scheduling skills, work on the vehicles simultaneously. The shops are preparation, upholstery, and electric/electronics.

    The company nets $5000 for each truck and $6000 for each van produced and sold. The work requirements for each, in hours, and personnel available are given in the table below. Personnel work 8 hours per day, five days per week on the conversions.

    shop trucks vans personnel
    preparation 8 12 10
    upholstery 10 8 8
    electrical 12 16 12

    shop trucks vans personnel personnel hours
    preparation 8 12 10 400
    upholstery 10 8 8 320
    electrical 12 16 12 480

    trucks vans
    Profit 5000 6000
    Standing Order 12 10

    Decision Variables
    trucks vans
    Units Made 20 15

    Constraints

    1) Hours used in each dept < hours available
    Used <= Available
    preparation 0 <= 400
    upholstery 0 <= 320
    electrical 0 <= 480

    2) Total made >= standing orders
    trucks vans
    Units made 20 15
    >= >= >=
    Standing Order 12 10

    3) total vans made should be less than or equal to 20
    Vans made 15
    <= <=
    Max parts qty 20

    Objective Fn
    Maximize total profit
    $190,000

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    https://brainmass.com/business/business-math/mathematics-linear-operators-qm-270317

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