Exhibit 81
the Following Questions Pertain to the Problem and Spreadsheet

question 12

Multiple Choice

Exhibit 8.1
The following questions pertain to the problem and spreadsheet below.
A company makes products A and B from 2 resources,labor and material.The company wants to determine the selling price which will maximize profits.A unit of A costs 25 to make and demand is estimated to be 20 ? .10 * Price of A.A unit of B costs 18 to make and demand is estimated to be 30 ? .07 * Price of B.The utilization of labor and materials and the available quantity of resources is shown in the table.A reasonable price for the products is between 100 and 200.
$\begin{array}{lccc}\text { Product } & \text { A } & \text { B } & \text { Avalable resources } \\\hline \text { Labor hr/unit) } & 3 & 2 & 150 \\\text { Material ounces/unit) } & 1 & 2 & 200 \\\text { Manufacturing cost\$/unit) } & 25 & 18 & \\\text { Demand units) } & 20-.10^{*} \mathrm{P}_{1} & 30-.07^{*} \mathrm{P}_{2} &\end{array}$
Let X₁ = demand for As and X₂ = demand for Bs.Let P₁ = price for As and P₂ = price for Bs

-A company wants to locate a new warehouse to minimize the distance traveled by its delivery trucks.It has four stores and their coordinates are listed in the accompanying spreadsheet.Which cells) in the spreadsheet represent the decision variables in the problem?
$\begin{array}{|r|r|r|r|r|}\hline & \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} \\\hline 1 & & & & \\\hline 2 & & \begin{array}{l}\text { X- } \\\text { Coordinate }\end{array} & \begin{array}{l}\text { Y- } \\\text { Coordinate }\end{array} & \\\hline 3 & \text { Warehouse } & 163.800 & \begin{array}{c}101.0 \\00\end{array} & \text { Distance: } \\\hline 4 & \text { Store 1 } & 100 & 130 & 70.082 \\\hline 5 & \text { Store 2 } & 90 & 60 & 84.424 \\\hline 6 & \text { Store 3 } & 210 & 80 & 50.749 \\\hline 7 & \text { Store 4 } & 180 & 110 & 18.532 \\\hline 9 && \text { Total Distance: } & 223.787 & \\\hline\end{array}$

• A)B3
• B)B3:C3
• C)B4:C7
• D)D9

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Definitions:

Social Interactions

The exchange between two or more individuals, which may involve communication, mutual influence, and the sharing of experiences.

Dialoguer

A person engaged in a dialogue or conversation, aiming for mutual understanding and sharing of perspectives.

Arguer

A person who presents reasons to support or oppose an idea or issue in a discussion or debate.

Persuade

The act of convincing someone to do or believe something through reasoning or argument.