## 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).

1. 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.

2. anonymous

oK

3. anonymous

How?

4. anonymous

how to make one side equal to 0?

5. anonymous

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

6. anonymous

|dw:1439849011357:dw|

7. anonymous

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

8. anonymous

YES

9. anonymous

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

10. anonymous

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

11. anonymous

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

12. anonymous

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

13. anonymous

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

14. anonymous

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

15. anonymous

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

16. anonymous

now calculate. |dw:1439849642905:dw|

17. anonymous

?

18. anonymous

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

19. anonymous

Yes

20. anonymous

x=-3 and x2 =-4 right ?

21. 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

22. anonymous

Ohh.

23. anonymous

i did

24. 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|

25. anonymous

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

26. anonymous

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

27. anonymous

ok