Question 1136049
<b>(a)Determine the number of tickets which must be sold each night in order to break even.</b>
<pr>
12.50x = 0.40(12.50x) + 60000
<pr>
12.50x = 5x + 60000
<pr>
7.50x = 60000
<pr>
x = 8000
<pr>
<b>(b)if the civic arena has a goal of clearing $15000 each night, how many tickets must be sold?</b>
<pr>
12.50x = (0.40(12.50x) + 60000) + 15000
<pr>
12.50x = 5x + 75000
<pr>
7.50x = 75000
<pr>
x = 10000
<pr>
<b>(c)what should nightly profit equal if average attendance is 7500 per night?</b>
<pr>
x = 12.50(7500) - (0.40(12.50)(7500) + 60000)
<pr>
x = 12.50(7500) - 0.40(12.50)(7500) - 60000
<pr>
x = 93750 - 37500 - 60000
<pr>
x = -3750
<pr>
If the attendance averages 7500 per night, there will be a LOSS of $3750 per night.