A concert hall has 10,000 seats and two categories of ticket prices, $25 and $35. Assume that all seats in each category can be sold over three concerts. Concert 3 Tickets Sold 10,000 $250,000 10,000 $350,000 10,000 $324,000 Return Required How many tickets of each category should be sold to bring in each of the returns indicated in the table for each concert? Use inverses to solve this problem (Section 4.6). 25 ticlucts 35 hckels

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A concert hall has 10,000 seats and two categories of ticket prices, $25 and $35.
Assume that all seats in each category can be sold over three concerts.
Concert
2.
3
Tickets Sold
10,000
10,000
10,000
Return Required
$250,000
$350,000
$324,000
How many tickets of each category should be sold to bring in each of the returns indicated in
the table for each concert? Use inverses to solve this problem (Section 4.6).
25 ticlucts
35 hckels
X+y= lo0o
Concet |
10000
25x+35y=kz
asx 35y
- asoos
25x+35(10000-x)- 25
25x+ 35000-5x- 250000
Concut 2
conund 3
2600
7400
350000 = 10x +250
O 10
2x2
%3D
25003
35000
32400
%3D
2500)
0000
1400
Transcribed Image Text:A concert hall has 10,000 seats and two categories of ticket prices, $25 and $35. Assume that all seats in each category can be sold over three concerts. Concert 2. 3 Tickets Sold 10,000 10,000 10,000 Return Required $250,000 $350,000 $324,000 How many tickets of each category should be sold to bring in each of the returns indicated in the table for each concert? Use inverses to solve this problem (Section 4.6). 25 ticlucts 35 hckels X+y= lo0o Concet | 10000 25x+35y=kz asx 35y - asoos 25x+35(10000-x)- 25 25x+ 35000-5x- 250000 Concut 2 conund 3 2600 7400 350000 = 10x +250 O 10 2x2 %3D 25003 35000 32400 %3D 2500) 0000 1400
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