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Exhibit 81
the Following Questions Pertain to the Problem and Spreadsheet

question 67

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    -How much are additional units of Labor worth based on the following sensitivity report? Changing Cells Final Reduced Cell Name Value Gradient $B$4 <sup>Number to make: X</sup><sub>1</sub><sub> </sub>9.42 0 $C$4 <sup>Number to make: X</sup><sub>2</sub><sub> </sub>1.71 0 Constraints Final Lagrange Cell Name Value Multiplier A) 0 B) 1.21 C) 2.57 D) 9.42 $D$8 Wood 42 0 $D$9 Labor 132 1.21 $D$10 Plywood 24 2.57
-How much are additional units of Labor worth based on the following sensitivity report?
Changing Cells
Final Reduced
Cell Name Value Gradient
$B$4 Number to make: X1 9.42 0
$C$4 Number to make: X2 1.71 0
Constraints
Final Lagrange
Cell Name Value Multiplier

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Definitions:

Unethical

Actions or behavior that do not conform to accepted standards of moral or professional conduct.

Cause-and-Effect

An analysis that explores the reasons for a particular event or situation and the consequences that result from it.

Conventional Pattern

Established or widely recognized methods of organizing information or structuring documents that readers expect.

Cause-and-Effect

A relationship in which one event (the cause) makes another event happen (the effect), often used to explain the reason behind certain outcomes.

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