Suppose you are an event coordinatorfor a large performance theater. One of the
ID: 3092993 • Letter: S
Question
Suppose you are an event coordinatorfor a large performance theater. One of the hottest new Broadwaymusicals has started to tour, and your city is the first stop onthe tour. You need to supply information about projected ticketsales to the box office manager. The box office manager uses thisinformation to anticipate staffing needs until the tickets sellout. You provide the manager with a quadratic equation that modelsthe expected number of ticket sales for each day x. ( is the day tickets go on sale).
a. Does the graph of this equation open up or down? How did youdetermine this?
b. Describe what happens to thetickets sales as time passes?
c. Use the quadratic equation todetermine the last day that tickets will be sold. (Note: Write youranswer in terms of the number of days after ticket salesbegin.)
d. Will tickets peak or be at a lowduring the middle of the sale? How do you know?
e. After how many days will the peakor low occur?
f. How many tickets will be sold onthe day when the peak or low occurs?
g. What is the point of the vertex?How does this number relate to your answers in parts e andf?
h. How many solutions are there tothe equation ? How do you know?
i. What do the solutions represent?Is there a solution that does not make sense? If so, in what waysdoes the solution not make sense?
Explanation / Answer
Are you missing some information in the problem stated here??