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Exhibit 81
the Following Questions Pertain to the Problem and Spreadsheet

question 37

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 must the objective function coefficient of the variable Pumpkin change before any Pumpkins are Produced based on the following sensitivity report? Changing Cells Final Reduced Cell Name Value Gradient $B$4 Corn 9.52 0 $C$4 Pumpkin 0 ?499.99 $D$4 Beans 10.79 0 Constraints Final Lagrange Cell Name Value Multiplier $E$8 Corn 200000.00 0.016 $E$9 Pumpkin 99.00 12.000 $E$10 Beans 37777.78 0 $E$11 Water 29.84 0 $E$12 Fertilizer 8000.00 3.490 A) increase by 12 B) decrease by 12 C) increase by 499.99 D) decrease by 499.99
-How much must the objective function coefficient of the variable Pumpkin change before any Pumpkins are
Produced based on the following sensitivity report?
Changing Cells
Final Reduced
Cell Name Value Gradient
$B$4 Corn 9.52 0
$C$4 Pumpkin 0 ?499.99
$D$4 Beans 10.79 0
Constraints
Final Lagrange
Cell Name Value Multiplier
$E$8 Corn 200000.00 0.016
$E$9 Pumpkin 99.00 12.000
$E$10 Beans 37777.78 0
$E$11 Water 29.84 0
$E$12 Fertilizer 8000.00 3.490


Definitions:

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, which processes and sends out neural information.

Involuntary Reflexes

Automatic, unconscious body responses to certain stimuli that do not involve the brain's direct command.

Conditioning

A process of behavior modification by which a subject comes to associate a desired behavior with a previously unrelated stimulus.

Handedness

The preference most people show for using one hand over the other for tasks; typically described as being right-handed, left-handed, or ambidextrous.

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