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:

Uranium

A dense, metallic element used as fuel in nuclear reactors and as a component in nuclear weapons, known for its radioactive properties.

Regression

A process in statistics that determines the relationship between variables, or in geology, the retreat of the sea from the land.

Unit 1

Often a reference to the primary or initial segment in a series within educational materials or scientific classifications, indicating foundational knowledge or elements.

Mudstone

A fine-grained sedimentary rock formed from mud, characterized by a mixture of clay and silt-sized particles.