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

question 11

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 linear optimization model, which of the following departments uses all the time that it is allocated to finish its job?

• A) assembly
• B) painting
• C) inspection
• D) packaging

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Definitions:

Variance

An indicator of the variability or extent to which a collection of data values is spread out from their average.

API Gravity

A measure of how heavy or light a petroleum liquid is compared to water, used to classify oils.

Confidence Interval

An estimated range of values which is likely to include an unknown population parameter, calculated from a given set of sample data.

Price Per Barrel

The cost of a single barrel of goods, often used to refer to crude oil in the commodities market.