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    Quantitative Analysis: Linear programming

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    B.1 Solve the following linear programming problem
    graphically:
    Maximize profit = 4X + 6Y
    Subject to: X + 2Y ... 8
    5X + 4Y ... 20
    X, Y U 0

    B.5 Solve the following LP problem graphically:
    Minimize cost = 24X + 15Y
    Subject to: 7X + 11Y U 77
    16X + 4Y U 80
    X, Y U 0

    B.7 The Attaran Corporation manufactures two electrical
    products: portable air conditioners and portable heaters. The
    assembly process for each is similar in that both require a certain
    amount of wiring and drilling. Each air conditioner takes 3 hours
    of wiring and 2 hours of drilling. Each heater must go through
    2 hours of wiring and 1 hour of drilling. During the next production
    period, 240 hours of wiring time are available and up to
    140 hours of drilling time may be used. Each air conditioner sold
    yields a profit of $25. Each heater assembled may be sold for a
    $15 profit.
    Formulate and solve this LP production-mix situation, and
    find the best combination of air conditioners and heaters that
    yields the highest profit

    B.11 The Sweet Smell Fertilizer Company markets bags
    of manure labeled "not less than 60 lb dry weight." The packaged
    manure is a combination of compost and sewage wastes. To
    provide good-quality fertilizer, each bag should contain at least
    30 lb of compost but no more than 40 lb of sewage. Each pound
    of compost costs Sweet Smell 5¢ and each pound of sewage costs
    4¢. Use a graphical LP method to determine the least-cost blend
    of compost and sewage in each bag.

    B.21. Par, Inc., produces a standard golf bag and a deluxe
    golf bag on a weekly basis. Each golf bag requires time for cutting
    and dyeing and time for sewing and finishing, as shown in the following
    table:
    HOURS
    REQUIRED PER BAG
    PRODUCT CUTTING AND DYEING SEWING AND FINISHING
    Par, Inc., will sell whatever quantities it produces of these two
    products.
    a) Find the mix of standard and deluxe golf bags to produce per
    week that maximizes weekly profit from these activities.
    b) What is the value of the profit?

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    Solution Summary

    The problem set deals with issues under quantitative analysis: Linear programming.

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