A local university football team has added a national power to next year's schedule.The other team has agreed to play the game for a guaranteed fee of $100,000 plus 25 percent of the gate receipts.Assume the ticket price is $12.

a) Determine the number of tickets that must be sold to cover the $100,000 guarantee.

tickets

b) If college officials hope to net a profit of $240,000 from the game, how many tickets must be sold?

tickets

**NOTE: Round answers to nearest WHOLE number.

c) If a sellout of 50,000 fans is assured, what ticket price would allow the university to earn the desired profit of $240,000?

$

d) Again, assuming a sell-out, what would the total profit equal if the $12 price is charged?

$

**NOTE: Round answers to nearest CENT.