When the admission price for a baseball game was $4 per ticket, 70,000 tickets were sold. When the price was raised to $5, only 63,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are so.10 and $85,000 respectively. (a) Find the profit Pas a function of x, the number of tickets sold. P(x) = (b) Select the graph of P. 200 000 200000 200000 200 000 100 000 100 000 100 000 100000 20000 40 000 60 000 80000/ 20 000 40 000 60 000 80000 20000 40 000 60 000 80 000 20000 40 000 60 000 80000 -100 000 - 100 000 -100 000 -100000 -200 000 -200 000 - 200000 -200 000 (c) Find the marginal profits when 35,000 tickets were sold and when 70,000 tickets were sold. P(35,000) = per ticket per ticket P(70,000) -

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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When the admission price for a baseball game was $4 per ticket, 70,000 tickets were sold. when the price was raised to $5, only 63,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $85,000
respectively.
(a) Find the profit P as a function of x, the number of tickets sold.
P(x) =
(b) Select the graph of P.
y
y
200 000-
200 000
200 000
200 000-
100000
100000
100000
100 000
20000 40 000 60 000 8000
20 000 40 000 60 000 80000
20000 40 000o 60 000 80 000
20000 40 000 60 000 80 000
-100 000
-100 000
- 100 000
100 000
-200 000
-200000
- 200 000
-200 000-
(c) Find the marginal profits when 35,000 tickets were sold and when 70,000 tickets were sold.
P(35,000) -
P(70,000) =
per ticket
per ticket
Transcribed Image Text:When the admission price for a baseball game was $4 per ticket, 70,000 tickets were sold. when the price was raised to $5, only 63,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $85,000 respectively. (a) Find the profit P as a function of x, the number of tickets sold. P(x) = (b) Select the graph of P. y y 200 000- 200 000 200 000 200 000- 100000 100000 100000 100 000 20000 40 000 60 000 8000 20 000 40 000 60 000 80000 20000 40 000o 60 000 80 000 20000 40 000 60 000 80 000 -100 000 -100 000 - 100 000 100 000 -200 000 -200000 - 200 000 -200 000- (c) Find the marginal profits when 35,000 tickets were sold and when 70,000 tickets were sold. P(35,000) - P(70,000) = per ticket per ticket
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