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).

- anonymous

- katieb

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- anonymous

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.

- anonymous

oK

- anonymous

How?

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## More answers

- anonymous

how to make one side equal to 0?

- anonymous

Yes I Basically Need Help Solving The Whole Thing I Just Dont Get It At Alll

- anonymous

|dw:1439849011357:dw|

- anonymous

So the equation is now
\[-50t^2+350t-600=0\]
Does that make sense?

- anonymous

YES

- anonymous

But Is That The Final Answer , If Not What More Do I Have To Do ?

- anonymous

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

- anonymous

Use the equation we found above to pick out a, b, and c then plug them into the formula

- anonymous

What numbers are in the a, b, and c spots in
\[-50t^2+350t-600=0\]

- anonymous

Oh Wow I Learned How 2 Do That ....Thing Is ...Wait Like This ?|dw:1439849415141:dw|

- anonymous

yes, like that. just finish filling it in. you're on the right track

- anonymous

Ok Im Done Filling It In Soo Now What Do I Do?

- anonymous

now calculate. |dw:1439849642905:dw|

- anonymous

?

- anonymous

that's the complete formula. Is that what you had?

- anonymous

Yes

- anonymous

x=-3 and x2 =-4
right ?

- anonymous

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

- anonymous

Ohh.

- anonymous

i did

- anonymous

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|

- anonymous

Thanks !!!! You Rock !!
Mind Helping With Another One?

- anonymous

sorry I gotta go now, but tag me and I'll check it later

- anonymous

ok

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