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Math Help - Cost/breakeven/profit

  1. #1
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    Cost/breakeven/profit

    I have been at this for hours and simply cannot figure out how to set this up/

    You are offered a job to drive a rental truck 540 miles and back, so 1080 round trip. You will receive $0.55 per mile but it costs $0.42 for gas/truck plus a $39 flat rental rate to rent the truck for the whole trip.

    A) what is your break even point in miles?
    B)What is your profit when you get to the destination? (540 Miles)
    C)What is the profit from the whole trip?
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  2. #2
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    Quote Originally Posted by heffay View Post
    I have been at this for hours and simply cannot figure out how to set this up/

    You are offered a job to drive a rental truck 540 miles and back, so 1080 round trip. You will receive $0.55 per mile but it costs $0.42 for gas/truck plus a $39 flat rental rate to rent the truck for the whole trip.

    A) what is your break even point in miles?
    B)What is your profit when you get to the destination? (540 Miles)
    C)What is the profit from the whole trip?
    $0.42 per what? mile, hour, gallon, ... , ???
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  3. #3
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    Quote Originally Posted by skeeter View Post
    $0.42 per what? mile, hour, gallon, ... , ???
    Assuming it's $0.42 per mile...

    Let m be miles. Your cost can be expressed as the function f(m)=.42m+39, and your reimbursement can be expressed as f(m)=.55m.

    Quote Originally Posted by heffay View Post
    A) what is your break even point in miles?
    Equate the two functions above and solve for m:

    .42m+39=.55m

    Quote Originally Posted by heffay View Post
    B)What is your profit when you get to the destination? (540 Miles)
    C)What is the profit from the whole trip?
    From the above, can you figure out how to calculate profit? (reimbursement - cost)
    Last edited by Andre; January 19th 2010 at 05:01 PM. Reason: typo
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  4. #4
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    got it thanks!
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