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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.
 Product  A  B  Avalable resources  Labor hr/unit)  32150 Material ounces/unit)  12200 Manufacturing cost$/unit)  2518 Demand units)  20.10P130.07P2\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
 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 X<sub>1 </sub>= demand for As and X<sub>2 </sub>= demand for Bs.Let P<sub>1 </sub>= price for As and P<sub>2 </sub>= 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)
-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?
 A BCD12 X-Coordinate  Y-Coordinate 3 Warehouse 103.800101.000 Distance: 4 Store 1 10013070.0825 Store 2 906084.4246 Store 3 2108050.7497 Store 4 18011018.53289 Total Distance: 223.787\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}

Comprehend the factors contributing to the development and inheritance of Post-Traumatic Stress Disorder (PTSD).
Identify the role of social support in coping with stress and trauma.
Analyze the challenges and specific vulnerabilities faced by children in response to stress.
Evaluate the methodologies and effectiveness of various therapeutic approaches to trauma and stress-related disorders.

Definitions:

Necessary Reagents

Specific substances or compounds required to initiate or drive a chemical reaction.

Regio-

A prefix used in chemistry to denote the specific region or orientation of a reaction or the substitution pattern in molecules.

Stereochemical

Refers to the spatial arrangement of atoms in molecules and the effect of this arrangement on chemical reactions and properties.

Cyclic Products

Molecules that form rings during a chemical reaction, often increased in stability compared to their open-chain counterparts.

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