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

question 1

Multiple Choice

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. $\begin{array}{|l|l|l|l|l|l|}\hline \begin{array}{l}\text { Pickson Luthiers } \\\text { Corporation }\end{array} & & & & & \\\hline & & & & & \\\hline \text { Data } & & & & & \\\hline \text { Guitar Model } & \begin{array}{l}\text { Selling } \\\text { price/Unit }\end{array} & \begin{array}{l}\text { Variable } \\\text { cost/Unit }\end{array} & \text { Min Sales } & \text { Max Sales } \\\hline \text { ScarCT } & 750.00 & 660.00 & 0 & 2500 \\\hline \text { Dela Mort } & 788.00 & 680.00 & 0 & 2000 \\\hline \text { Warax } & 800.00 & 700.00 & 100 & 1000 \\\hline \text { Invazen } & 850.00 & 800.00 & 80 & 500 \\ \hline & & & & \\\hline \begin{array}{l}\text { Production rates } \\\text { (units/hour) }\end{array} & \text { ScarCT } & \text { Dela Mort } & \text { Warax } & \text { Invazen } & \text { Hours } \\&&&&&\text { Available } \\\hline \text { Assembly } & - & 35 & 25 & 20 & 220 \\\hline \text { Painting } & 35 & 20 & 15 & 10 & 220 \\\hline \text { Sound Testing } & 20 & 10 & 20 & 18 & 220 \\\hline \text { Inspection } & 10 & 12 & 8 & 5 & 220 \\\hline \text { Packaging } & 9 & 10 & 5 & 8 & 220 \\\hline\end{array}$ Use a linear optimization model based on the data to answer the following question.
-According to the Sensitivity Report, by how much should the unit profit on ScarCT be increased in order for its production to be feasible?

• A) $30
• B) $90
• C) $60
• D) $120

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Definitions:

Marginal Product

The incremental output produced by adding one more unit of a specific input while holding other inputs constant.

Wage Rate

The wage rate is the amount of money paid for a specific quantity of labor or service, often expressed per hour, day, or piece.

Purely Competitive

A market structure characterized by a large number of firms producing homogeneous products with no single firm influencing the market price or supply.

Variable Input

An input in the production process that changes in quantity with variations in the level of output.