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Use the Table Below to Answer the Following Questions) Use a Linear Optimization Model Based on the Data to Luthiers

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Use the table below to answer the following questions) .
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  Selling  price/Unit  Variable  cost/Unit  Min Sales  Max Sales  ScarCT 750.00660.0002500 Dela Mort 788.00680.0002000 Warax 800.00700.001001000 Invazen 850.00800.0080500 Production rates  units/hour)   ScarCT  Dela Mort  Warax  Invazen  Hours  Available  Assembly 352520220 Painting 35201510220 Sound Testing 20102018220 Inspection 101285220 Packaging 91058220\begin{array} { |l|l|l|l|l|l| } \hline \begin{array} { l } \text {Pickson Luthiers }\\ \text {Corporation }\\\end{array}\\\hline\\\hline \text {Data}\\\hline \text { Guitar Model } & \begin{array}{l}\text { Selling } \\\text { price/Unit }\end{array} & \begin{array}{l}\text { Variable } \\\text { cost/Unit }\end{array} & \text { Min Sales } & \text { Max Sales } \\\hline \text { ScarCT } & 750.00 & 660.00 & 0 & 2500 \\\hline \text { Dela Mort } & 788.00 & 680.00 & 0 & 2000 \\\hline \text { Warax } & 800.00 & 700.00 & 100 & 1000 \\\hline \text { Invazen } & 850.00 & 800.00 & 80 & 500 \\\hline\\\hline \begin{array}{l}\text { Production rates } \\\text { units/hour) }\end{array} & \text { ScarCT } & \text { Dela Mort } & \text { Warax } & \text { Invazen } & \begin{array}{l}\text { Hours } \\\text { Available }\end{array} \\\hline \text { Assembly } & - & 35 & 25 & 20 & 220 \\\hline \text { Painting } & 35 & 20 & 15 & 10 & 220 \\\hline \text { Sound Testing } & 20 & 10 & 20 & 18 & 220 \\\hline \text { Inspection } & 10 & 12 & 8 & 5 & 220 \\\hline \text { Packaging } & 9 & 10 & 5 & 8 & 220\\\hline\end{array}
Use a linear optimization model based on the data to answer the following question.
-According to the linear optimization model, what is the total profit for the Pickson Luthiers Corporation?


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