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Math Help - I have 3 numbers

  1. #1
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    I have 3 numbers

    I am no math guru and I am not sure how to do this but here goes. I have three numbers

    One is a minimum number. This number represents the bare minimum of work that can be done. If it is met then they met the minimum goal.

    The second number is the actual number provided. For example: At The bare minimum I can make 5 hamburgers and hour but I actually made 7 hamburgers in an hour.

    The third number is a wish number. This number represents what we would like them to meet for example: we wish like they could make 10 hamburgers an hours.

    What I am trying to figure out is how do I properly give extra credit to employees based on how close they got to our wish number, while at the same time determining if they did above the bare minimum. Please do not laugh at my primitive math. Thanks in advance for any help.
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  2. #2
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    Wish Number

    Well, I suppose that the Wish Number (x) is greater than the Minimum Number (z), and that their actual performance (y) is expected to be somewhere in between those two numbers. You could use a piecewise function such that:
    extra credit = 0, if  y \leq x
    and extra credit = points/(z-y), if x<y<z
    And I assume that they get hella points if they meet or exceed the Wish Number.
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  3. #3
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    Thank for you reply. Now here is the hard part (for me) I want to base the credit on how unrealistiic the goal was. For example: if the minumim is 5 hamburgers and the wish list number for that days was 10. I dont want the extra credit to be as much as if the minumim was 5 and the wish list was 100. I would like the credit to be more for meeting a more unrealistic goal. The last part is I want the credit to be a percent instead of a number. Thanks again.
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  4. #4
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    What would you like the percent to be of? Because I could just say 50%, but if there is no context, that 50% is rather meaningless.
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