When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold. When the price was raised to $21, only 32,000 tickets were sold. Assume that the demand function is linear and that the marginal and fixed costs for the ballpark owners are $3 and $700,000, respectively (a) Find the profit Pas a function of x, the number of tickets sold. P= (b) Use a graphing utility to graph P, and comment about the slopes of P when x = 18,000, x = 28,000, and x = 40,000. At x = 18,000, the slope of P is -Select-V At x= 28,000, the slope of P is -Select--v. At x= 40,000, the slope of Pis --Select-V (c) Find the marginal profits, in dollars per ticket, when 18,000 tickets are sold, when 28,000 tickets are sold, and when 40,000 tickets are sold. P(18,000) - $ P'(28,000) - $ P(40,000) - $ per ticket per ticket
When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold. When the price was raised to $21, only 32,000 tickets were sold. Assume that the demand function is linear and that the marginal and fixed costs for the ballpark owners are $3 and $700,000, respectively (a) Find the profit Pas a function of x, the number of tickets sold. P= (b) Use a graphing utility to graph P, and comment about the slopes of P when x = 18,000, x = 28,000, and x = 40,000. At x = 18,000, the slope of P is -Select-V At x= 28,000, the slope of P is -Select--v. At x= 40,000, the slope of Pis --Select-V (c) Find the marginal profits, in dollars per ticket, when 18,000 tickets are sold, when 28,000 tickets are sold, and when 40,000 tickets are sold. P(18,000) - $ P'(28,000) - $ P(40,000) - $ per ticket per ticket
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
Related questions
Question
100%
When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold. When the price was raised to $21, only 32,000 tickets were sold. Assume that the demand function is linear and that the marginal and fixed costs for the ballpark owners are $3 and $700,000, respectively.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning