3. The Toones Company has $30,000 for the purchase of materials to make three types of MP3 players. The company has allocated a total of 1200 hours of assembly time and 180 hours of packaging time for the players. The following table gives the cost per player, the number of hours per player, and the profit per player for each type. Cost/Player Assembly hours/Player Packaging hours/Player Profit Type 1 $300 15 2 $150 Type 2 $300 15 2 $250 Type 3 $400 10 3 $200 Use the simplex method and find the number of players of each type the company should produce to maximize profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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3. The Toones Company has $30,000 for the purchase of materials to make three types of
MP3 players. The company has allocated a total of 1200 hours of assembly time and 180 hours
of packaging time for the players. The following table gives the cost per player, the number of
hours per player, and the profit per player for each type.
Cost/Player
Assembly hours/Player
Packaging hours/Player
Profit
Type 1
$300
15
2
$150
Type 2
$300
15
2
$250
Type 3
$400
10
3
$200
Use the simplex method and find the number of players of each type the company should
produce to maximize profit.
Transcribed Image Text:3. The Toones Company has $30,000 for the purchase of materials to make three types of MP3 players. The company has allocated a total of 1200 hours of assembly time and 180 hours of packaging time for the players. The following table gives the cost per player, the number of hours per player, and the profit per player for each type. Cost/Player Assembly hours/Player Packaging hours/Player Profit Type 1 $300 15 2 $150 Type 2 $300 15 2 $250 Type 3 $400 10 3 $200 Use the simplex method and find the number of players of each type the company should produce to maximize profit.
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