Use the table below to answer the following question(s).
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 ​​ ​ ​​
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Data ​ ​​ ​ ​
Guitar Model Selling price/Unit Variable cost/Unit Min Sales Max Sales ​
ScarCT 750.00 660.00 0 2500​
Dela Mort 780.00 680.00 0 2000​
Warax 800.00 700.00 100 1000​
Invazen 850.00 800.00 80 500​
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Production rates (units/hour) ScarCT Dela Mort Warax Invazen Hours Available
Assembly - 35 25 20 270
Painting 35 20 15 10 270
Sound Testing 20 10 20 18 270
Inspection 10 12 8 5 270
Packaging 9 10 5 8 270
Use a linear optimization model based on the data to answer the following question.
According to the linear optimization model, what is the total number of units produced from Scar CT guitar?