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

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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  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 } & \text { Hours } \\&&&&&\text { Available } \\\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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Definitions:

Qualified Engineers

Individuals who have met the education, experience, and examination requirements to perform engineering tasks and services.

Domestic Industry

Industries that produce goods and services within a country’s borders, as opposed to foreign or international markets.

Quota

Limit set on the amounts of particular products that can be imported.

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