At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is $70. However if you buy more than 60 tickets in a single order, the price of every ticket is reduced by $1 for each additional ticket bought. If t is the number of tickets bought in bulk at one time, what is the largest t which will bring the amusement park a profit greater than $4200?
+36916 t = number of tickets
70 - (t-60) = price of tickets
t (70-(t-60)) >4200
t(-t +130) > 4200
-t^2 + 130t -4200 > 0
t^2-130t+4200< 0 Use Quadratic formula to find zeroes at t = 60 70
When t = 60 Sales 4200
When t = 70 sales = 4200 The question asks for the greatest number to be MORE than 4200 that would be when t = 69 Sales= 4209
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