When the admission price for a baseball game was $42 per ticket, 36,000 tickets were sold. When the price was raised to $49, 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 $7 and $700,000,respectively.(a) Find the profit P as 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 = 32,000.At x = 18,000, the slope of Pis --Select-- VAt x = 28,000, the slope of P is --Select-. VAt x = 32,000, the slope of P is --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 32,000 tickets are sold.P'(18,000) - $per ticketP'(28,000) - $per ticketP'(32,000) = $per ticket

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When the admission price for a baseball game was $42 per ticket, 36,000 tickets were sold. When the price was raised to $49, 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 $7 and $700,000, respectively. (a) Find the profit P as a function of x, the number of tickets sold. (b) Use a graphing utility to graph P, and comment about the slopes of P when x - 18,000, x - 28,000, and x = 32,000. At x = 18,000, the slope of Pis -Select-- V At x - 28,000, the slope of Pis -Select- V At x- 32,000, the slope of P is --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 32,000 tickets are sold. P(18,000) - $[ P(28,000) - $ P(32,000) - $ per ticket per ticket per ticket

When the admission price for a baseball game was $42 per ticket, 36,000 tickets were sold. When the price was raised to $49, 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 $7 and $700,000, respectively. (a) Find the profit P as a function of x, the number of tickets sold. (b) Use a graphing utility to graph P, and comment about the slopes of P when x - 18,000, x - 28,000, and x = 32,000. At x = 18,000, the slope of Pis -Select-- V At x - 28,000, the slope of Pis -Select- V At x- 32,000, the slope of P is --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 32,000 tickets are sold. P(18,000) - $[ P(28,000) - $ P(32,000) - $ per ticket per ticket per ticket

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CT: Test

Problem 19CT

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