Question

In: Math

A minor league baseball team plays in a stadium that holds 6,000 spectators. With ticket prices...

A minor league baseball team plays in a stadium that holds 6,000 spectators. With ticket prices at $8, the average attendance had been 3,500. When ticket prices were lowered to $6, the average attendance rose to 4,500.
a) (8 points) Find the ticket price ? as a function of the attendance ?. You can assume

ticket price is linearly related to attendance.

b) (4 points) What ticket price will fill the stadium? What ticket price will ensure there are no spectators?

c) (8 points) What ticket price will maximize the revenue?

d) (8 points) Find the value(s) of ? for which the slope of the function ?(?) = ?2?−3? equals zero.

Solutions

Expert Solution


Related Solutions

A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at...
A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $11 the average attendance has been 27000. When the price dropped to $10, the average attendance rose to 33000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue?
A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at...
A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the average attendence has been 25000. When the price dropped to $9, the average attendence rose to 30000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue? $_______
A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at...
A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the average attendence has been 21000. When the price dropped to $7, the average attendence rose to 25000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue? $
A lacrosse team plays in a stadium that holds 62000 spectators. With the ticket price at...
A lacrosse team plays in a stadium that holds 62000 spectators. With the ticket price at $9 the average attendance has been 26000. When the price dropped to $8, the average attendance rose to 31000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? Round to nearest cent.
A Major League baseball team wants to reach out to fans in their stadium to offer...
A Major League baseball team wants to reach out to fans in their stadium to offer them seat upgrades. Which technology would you suggest they use? Multiple Choice Facebook Twitter Beacon Network Interconnected If Katy Perry tweets a closeup of her eyelashes, lengthened using her favorite CoverGirl mascara, CoverGirl will have instantly reached all her millions of followers. This is an example of the Multiple Choice network effect. connected effect. information effect. dynamic effect. timeliness effect. What is the third...
Owners of a minor league baseball team believe that a Normal model is useful in projecting...
Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance? c. What proportion of the home games...
During the summer season, minor league baseball games are held at Nat Bailey Stadium. You have...
During the summer season, minor league baseball games are held at Nat Bailey Stadium. You have been hired by the General Manager of Nat Bailey Stadium to assist in increasing revenues because ticket sales are dismal. Presently adult tickets are $10 per person. The stadium seats 3000 people, you have noticed that the stadium is only half full on game nights.  Illustrate this situation using supply and demand curves. Is this market in equilibrium?  Explain and include a graph. What would you...
A sportswriter wants to know how strongly Lafayette residents support the local minor league baseball team,...
A sportswriter wants to know how strongly Lafayette residents support the local minor league baseball team, the Lafayette Leopards.  She stands outside the stadium before a game and interviews the first 20 people who enter the stadium. The sample for the survey is: a. all residents of Lafayette. b. all people attending the game the day the survey was conducted. c. all Leopard fans. d. the sportswriter. e. the 20 people who gave the sportswriter their opinion.
A sports team has a stadium that holds a maximum of 36,000 fans. The league has suggested that the owners of the team consider expanding its seating to 40,000.
A sports team has a stadium that holds a maximum of 36,000 fans. The league has suggested that the owners of the team consider expanding its seating to 40,000. The cost of permits, project management, and construction is expected to be $40,000 per seat. Work can be accomplished over two years, at which time the club will have 4,000 additional seats to sell. Assume the investment would occur equally over years 0 and 1.Each seat will generate an additional $3,500...
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions:...
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. The following data show the average attendance for the 15 teams in the International League. Also shown are the teams’ records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won. A test for any difference in the mean attendance for the three divisions has...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT