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Math Help - max profit and objective functions

  1. #1
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    max profit and objective functions

    Okay, basically, what combination of these wooden tables would provide the greatest profit (see attached image)? I need an objective function and then some other functions with constraints to put into MS Excel I guess, it seems so easy but it's not clickin...any help is appreciated.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by strangiatotheme View Post
    Okay, basically, what combination of these wooden tables would provide the greatest profit (see attached image)? I need an objective function and then some other functions with constraints to put into MS Excel I guess, it seems so easy but it's not clickin...any help is appreciated.
    Let P, Q, R and S denote the number of units of each model produced per
    month.

    Then the profit:

    Pr=35*P+40*Q+20*R+50*S.

    This is your objective to be maximised.

    Constraints:

    P>=0, Q>=0, R>=0, S>=0.

    cutting constraint:

    P+2*Q+2*R+3*S<=200

    I will leave the assembly and painting constraints for you to fill in.

    RonL
    Last edited by CaptainBlack; September 28th 2006 at 04:06 AM. Reason: confusing variable naming
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  3. #3
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    Hello, strangiatotheme!

    Let w = number of model A
    Let x = number of model B
    Let y = number of model B (unpainted)
    Let z = number of model C
    . . w, x, y, z . .0

    Read down the columns to get the inequalities:
    . . . w + 2x + 2y + 3x . .200
    . . 2w + 4x + 4y + 7z . .300
    . . 4w + 4x + 0y + 5z . .150

    Objective: .P .= .35w + 40x + 20y + 50z

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  4. #4
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    Thanks a bunch, guys. Just had the report submitted so hopefully the essay part of this went well also...
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