when the admission price for a baseball game was 54 per ticket. 50.000 tickets were sold. when the price was raised to $5. only 45.000 tickets were sold. Assume that the demand function is linear and that the variable and foxed costs for the ball park owners are s0.10 and s95.000 respectively. (a) Find the profit Pas a function of x. the number of tickets sold. P) - (b) Select the graph of P. AHHM 150000 150000 150000 150000 100000 100000 100000 100000 s0 000 50000 50 000 s0 000 20000 40000 20000 40 000 60 000 20000 40000 60000 20000 40000 60 oo -50000 -50000 -50 000- -50 000 -100000 -100000 100000 -100000 o-150000 O o-150000 ! 00-13000o! 0 o-15000o! (e) Find the marginal profits when 25.000 tickets were sold and when 50.000 tickets were sold. P(25.000) - per ticket P(50.000)- 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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When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 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 $95,000 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
150000
150000
150000
150000
100000
100000
100000
100000
50 000
50 000
50 000
50 000
60 000
60 d00
20000
40 000
20000
40 000
60 000
20000
40 000
60 000
20000
40 000
- 50 000
-50 000
- 50 000
- 50 000
-100000
-100000
- 100000
-100000
O-150000
@
-150000-
O 0-150000
O 0-150000!
(c) Find the marginal profits when 25,000 tickets were sold and when 50,000 tickets were sold.
P'(25,000) =
per ticket
P'(50,000) =
per ticket
Transcribed Image Text:When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 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 $95,000 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 150000 150000 150000 150000 100000 100000 100000 100000 50 000 50 000 50 000 50 000 60 000 60 d00 20000 40 000 20000 40 000 60 000 20000 40 000 60 000 20000 40 000 - 50 000 -50 000 - 50 000 - 50 000 -100000 -100000 - 100000 -100000 O-150000 @ -150000- O 0-150000 O 0-150000! (c) Find the marginal profits when 25,000 tickets were sold and when 50,000 tickets were sold. P'(25,000) = per ticket P'(50,000) = per ticket
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