A local university football team has ordera national power to next yerar's schedule. the order team has agreed to play the game guaranteed fee of $100000 .plus 25 percent of the gate receipts .assume the ticket price is $ 12 . (a) determine the number od tickets which must be sold to recover the $ 100000 guarantee. (b) if college official hope to net a profit of $2400000 from the game how many tickets must be sold .(c) if a sellout of 50000 fans is assured , what ticket price would allow the university to earn the desired profit of $ 240000. ( d) assuming a total sell out , what would total profit equal if the the $ 12price is charged.​