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anonymous

  • one year ago

PLEASE HELPPP The Revenue For The School Play Is Given By R=-50t^2+300t , Where ''T'' Is The Ticket Prince In Dollars. The Cost To Produce The Play Is Given By :C=600-50t . Determine The Ticket Price That Will Allow Script & Cue To Break Even .(Note Breaking Even Means That Revenue=Cost).

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  1. anonymous
    • one year ago
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    If revenue = cost then R = C, and \[-50t^2+300t=600-50t\] Make one side equal to 0, then you can solve this with the quadratic formula, factoring, or completing the square.

  2. anonymous
    • one year ago
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    oK

  3. anonymous
    • one year ago
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    How?

  4. anonymous
    • one year ago
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    how to make one side equal to 0?

  5. anonymous
    • one year ago
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    Yes I Basically Need Help Solving The Whole Thing I Just Dont Get It At Alll

  6. anonymous
    • one year ago
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    |dw:1439849011357:dw|

  7. anonymous
    • one year ago
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    So the equation is now \[-50t^2+350t-600=0\] Does that make sense?

  8. anonymous
    • one year ago
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    YES

  9. anonymous
    • one year ago
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    But Is That The Final Answer , If Not What More Do I Have To Do ?

  10. anonymous
    • one year ago
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    now you have to use the quadratic equation to solve for t For quadratic equations \[at^2+bt+c=0\] \[t=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]

  11. anonymous
    • one year ago
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    Use the equation we found above to pick out a, b, and c then plug them into the formula

  12. anonymous
    • one year ago
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    What numbers are in the a, b, and c spots in \[-50t^2+350t-600=0\]

  13. anonymous
    • one year ago
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    Oh Wow I Learned How 2 Do That ....Thing Is ...Wait Like This ?|dw:1439849415141:dw|

  14. anonymous
    • one year ago
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    yes, like that. just finish filling it in. you're on the right track

  15. anonymous
    • one year ago
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    Ok Im Done Filling It In Soo Now What Do I Do?

  16. anonymous
    • one year ago
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    now calculate. |dw:1439849642905:dw|

  17. anonymous
    • one year ago
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    ?

  18. anonymous
    • one year ago
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    that's the complete formula. Is that what you had?

  19. anonymous
    • one year ago
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    Yes

  20. anonymous
    • one year ago
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    x=-3 and x2 =-4 right ?

  21. anonymous
    • one year ago
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    I got 3 and 4, which makes sense for the result because price can't be negative. It looks like you may have divided by 50 instead of -50

  22. anonymous
    • one year ago
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    Ohh.

  23. anonymous
    • one year ago
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    i did

  24. anonymous
    • one year ago
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    ok. so for an answer, I'd go with 3. If you graph the parabola it looks like this, so the play is only profitable if ticket prices are between $3 and $4. $3 is the breakeven price where they start making a profit. Above $4 tickets are priced to high to make a profit |dw:1439850211785:dw|

  25. anonymous
    • one year ago
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    Thanks !!!! You Rock !! Mind Helping With Another One?

  26. anonymous
    • one year ago
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    sorry I gotta go now, but tag me and I'll check it later

  27. anonymous
    • one year ago
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    ok

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