+0  
 
0
95
1
avatar

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?

Guest Jun 16, 2018
 #1
avatar+12693 
+1

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

Here is a graph:

ElectricPavlov  Jun 17, 2018

39 Online Users

avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.