Exhibit 81
the Following Questions Pertain to the Problem and Spreadsheet

question 62

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 D9 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)=MIND4:D7)^2
• B)=SUMD4:D7)
• C)=SQRTD4^2+D5^2+D6^2+D7^2)
• D)=SQRTMMULTB3:C3,D4:D7))

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Definitions:

Casparian Strip

Waxy band between the plasma membranes of abutting root endodermal cells; forms a seal that prevents soil water from seeping through cell walls into the vascular cylinder.

Endodermis

In a plant root, a sheet of cells just outside the vascular cylinder. A Casparian strip between these cells prevents water from seeping through their walls.

Epidermis

The outermost layer of cells covering the body of an organism, often serving as a barrier to the environment.

Vascular Tissue

The complex tissue in plants that conducts water and nutrients through the plant body.