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Math Help - Quantitative Method for Business--MATH HELP!!!

  1. #1
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    Quantitative Method for Business--MATH HELP!!!

    I need help solving and setting up this problem. I have gotten the first 3 problems, but this #4 is really difficult for me. I need help to solve and set this problem up. Please any help would be appreciated.

    4. A glass blower makes glass decanters and glass trays on a weekly basis. Work in progress cannot be carried over from week to week. Each item requires 1 pound of glass, and the glass blower has 15 pounds of glass available each week. A glass decanter requires 4 hours of labor, a glass tray requires 1 hour of labor, and the glass blower works 25 hours a week. The profit from a decanter is $50, and the profit from a tray is $10.

    a. Find the optimal production schedule for this situation.

    b. If the glass blower received an order for 5 trays that she could not refuse, what would be the optimal production schedule?

    c. What would be the penalty for this additional constraint?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by darkdesign007 View Post
    I need help solving and setting up this problem. I have gotten the first 3 problems, but this #4 is really difficult for me. I need help to solve and set this problem up. Please any help would be appreciated.

    4. A glass blower makes glass decanters and glass trays on a weekly basis. Work in progress cannot be carried over from week to week. Each item requires 1 pound of glass, and the glass blower has 15 pounds of glass available each week. A glass decanter requires 4 hours of labor, a glass tray requires 1 hour of labor, and the glass blower works 25 hours a week. The profit from a decanter is $50, and the profit from a tray is $10.

    a. Find the optimal production schedule for this situation.

    b. If the glass blower received an order for 5 trays that she could not refuse, what would be the optimal production schedule?

    c. What would be the penalty for this additional constraint?
    Formulate the problem:

    Let the number of decanters be d, and trays be t.

    d>=0, t>=0.

    Glass mass constraint: d+t<=15

    Labour constaint: 4d+t<=25

    Objective; maximise the profit p=50d+10t

    RonL
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