Pickson Luthiers Corporation makes four models of electric guitars, ScarCT, Dela Mort, Warax, and Invazen. Each guitar must flow through five departments, assembly, painting, sound testing, inspection, and packaging. The table below shows the relevant data. Production rates are shown in units/hour. (ScarCT is assembled elsewhere). Pickson wants to determine how many guitars to make to maximize monthly profit. Pickson Luthiers Corporation Data Guitar Model ScarCT Dela Mort Warax Invazen Production rates (units/hour) Assembly Painting Sound Testing Inspection Packaging Selling Variable price/Unit cost/Unit Min Sales Max Sales 750.00 660.00 10 780.00 680.00 0 800.00 700.00 850.00 800.00 O $246,400 $219,200 $234,500 O $244,230 ScarCT 35 20 10 9 Dela Mort 35 20 10 12 10 100 80 Warax 25 15 20 8 5 2500 2000 1000 500 Invazen 20 10 18 5 18 Hours Available 270 270 270 270 270 Use a linear optimization model based on the data to answer the following question. At the optimal solutionl, what is the total profit obtained?

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Pickson Luthiers Corporation makes four models of electric guitars, ScarCT, Dela Mort, Warax, and Invazen. Each guitar must flow through five
departments, assembly, painting, sound testing, inspection, and packaging. The table below shows the relevant data. Production rates are shown in
units/hour. (ScarCT is assembled elsewhere). Pickson wants to determine how many guitars to make to maximize monthly profit.
Pickson Luthiers
Corporation
Data
Guitar Model
ScarCT
Dela Mort
Warax
Invazen
Production rates
(units/hour)
Assembly
Painting
Sound Testing
Inspection
Packaging
Selling
price/Unit
O $246,400
O $219,200
O $234,500
O $244,230
750.00
780.00
800.00
850.00
ScarCT
35
20
10
9
Variable
cost/Unit Min Sales Max Sales
660.00
0
2500
680.00 0
2000
700.00
1000
800.00
500
100
80
Dela Mort Warax
35
20
10
12
10
25
15
20
8
15
Invazen
20
10
18
5
8
Hours
Available
270
270
270
270
270
Use a linear optimization model based on the data to answer the following question.
At the optimal solutionl, what is the total profit obtained?
Transcribed Image Text:Pickson Luthiers Corporation makes four models of electric guitars, ScarCT, Dela Mort, Warax, and Invazen. Each guitar must flow through five departments, assembly, painting, sound testing, inspection, and packaging. The table below shows the relevant data. Production rates are shown in units/hour. (ScarCT is assembled elsewhere). Pickson wants to determine how many guitars to make to maximize monthly profit. Pickson Luthiers Corporation Data Guitar Model ScarCT Dela Mort Warax Invazen Production rates (units/hour) Assembly Painting Sound Testing Inspection Packaging Selling price/Unit O $246,400 O $219,200 O $234,500 O $244,230 750.00 780.00 800.00 850.00 ScarCT 35 20 10 9 Variable cost/Unit Min Sales Max Sales 660.00 0 2500 680.00 0 2000 700.00 1000 800.00 500 100 80 Dela Mort Warax 35 20 10 12 10 25 15 20 8 15 Invazen 20 10 18 5 8 Hours Available 270 270 270 270 270 Use a linear optimization model based on the data to answer the following question. At the optimal solutionl, what is the total profit obtained?
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