Exhibit 81
the Following Questions Pertain to the Problem and Spreadsheet

question 59

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.What formula goes in cell D4 of the spreadsheet?
$$\begin{array} { | r | c | c | c | r | } \hline & \text { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & & & & \\\hline 2 & & \text { X-Coordinate } & \text { Y-Coordinate } & \\\hline 3 & \text { Warehouse } & 103.800 & 101.000 & \text { Distance: } \\\hline 4 & \text { Store 1 } & 100 & 130 & 70.082 \\\hline 5 & \text { Store 2 } & 90 & 60 & 84.424 \\\hline 6 & \text { Store 3 } & 210 & 80 & 50.749 \\\hline 7 & \text { Store 4 } & 180 & 110 & 18.532 \\\hline 8 & & & & \\\hline 9 & & \text { Total Distance: } &223.787 & \\\hline\end{array}$$

• A)=B4-$B$3)^2+C4-$C$3)^2
• B)=SQRTB4-$B$3)+C4-$C$3))
• C)=SQRTB4-$B$3)^2+C4-$C$3)^2)
• D)=B4-$B$3)+C4-$C$3)

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Definitions:

Command

A directive or an instruction, often used in the context of command economies where the government directs economic activity.

Capitalistic

Pertaining to an economic system where private owners control trade and industry rather than being state-owned.

China's Agricultural Land

Refers to the area within China designated for farming activities, playing a critical role in the country's food security and economic development.

Private Sector

The part of an economy that is run by individuals and companies for profit, as opposed to being controlled by the government.