Chapter 1.1, Problem 29E

Solve the problem below. The profit made when t units of Jamal  brand of snickers  are sold; where, t > 0, is given by the function  P(t) = t2 - 36t + 323. Determine the number of units to be sold in order to the break-even-point ( i.e. where P = 0).

The hotel room tax in festivity city is calculated using the function t(x)=0.06t+4.5, where x is the cost in dollars of the room and t(x) is the tax in dollars. What is the tax on a room that costs $120?

The total world wide box office receipts for a long running blockbuster movie are approximated by the function T(x) = (120x2)/(x2 + 4) where T(x) is measured in millions of dollars ans x is the number of months since the movie’s released.  What are the total box office receipts after the first month? The second? The third?  What will be the movie’s gross in the long run?