Chapter 2 Introduction Influence Diagrams BASIC PROFIT MODEL.

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Chapter 2 Introduction Influence Diagrams BASIC PROFIT MODEL BASIC PROFIT MODEL

Transcript of Chapter 2 Introduction Influence Diagrams BASIC PROFIT MODEL.

Page 1: Chapter 2 Introduction Influence Diagrams BASIC PROFIT MODEL.

Chapter 2

IntroductionInfluence Diagrams

BASIC PROFIT MODELBASIC PROFIT MODEL

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Introduction

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In building spreadsheets for deterministic models, we will look at:

ways to translate the black box representation into a spreadsheet model.

recommendations for good spreadsheet model design and layout

suggestions for documenting your models

useful features of Excel for modeling and

analysis

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Price Revenue received from selling units

Total Revenue

Fixed Cost

Variable Costs

Overhead Costs

Sunk Costs

Total Costs

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Profit

Breakeven Point

Crossover Point

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Examples

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Step 1: Study the Environment and Frame the Situation

The Pies are then processed and sold to local grocery stores in order to generate a profit.

Follow the three steps of model building.

Example 1: Simon Pie

Critical Decision: Setting the wholesale pie price

Decision Variable: Price of the apple pies (this plus cost parameters will determine profits)

Two ingredients combine to make Apple Pies: Fruit and frozen dough

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Step 2: Formulation

Model

Using “Black Box” diagram, specify cost parameters

The next step is to develop the logic inside the black box.

A good way to approach this is to create an Influence Diagram.

Pie PriceUnit Cost, FillingUnit Cost, Dough

Unit Pie Processing CostFixed Cost

An Influence Diagram pictures the connections between the model’s exogenous variables and a performance measure (e.g., profit).

Exogenous Variables

Profit

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Black Box View of Simon Pie Model

MODEL

Unit Cost, Filling

Pie Price

Unit Cost, Dough

Fixed CostUnit Pie Processing Cost

Profit

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Influence Diagram

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To create an Influence Diagram:start with a performance measure variable.

Further decompose each of the intermediate variables into more related intermediate variables.

Decompose this variable into two or more intermediate variables that combine mathematically to define the value of the performance measure.

Continue this process until an exogenous variable is defined (i.e., until you define an input decision variable or a parameter).

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performance measure variable

ProfitStart here:

Decompose this variable into the intermediate variables Revenue and Total Cost

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Profit

Revenue Total Cost

Now, further decompose each of these intermediate variables into more related

intermediate variables ...

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Profit

Revenue Total Cost

Pies Demanded

Pie PriceUnit Pie

Processing Cost Fixed Cost

ProcessingCost

IngredientCost

Unit CostFilling

Unit CostDough

RequiredIngredientQuantities

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Step 3: Model Construction

Based on the previous Influence Diagram, create the equations relating the variables to be specified in the spreadsheet.

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Profit

Revenue Total Cost

Profit = Revenue – Total Cost

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Profit

Revenue

Pie Price

Pies Demanded

Revenue = Pie Price * Pies Demanded

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Fixed Cost

ProcessingCost

IngredientCost

Profit

Total Cost

Total Cost = Processing Cost + Ingredients Cost + Fixed Cost

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Processing Cost = Pies Demanded * Unit Pie Processing Cost

ProcessingCost

Total Cost

Pies Demanded

Unit PieProcessing Cost

Profit

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Ingredients Cost = Qty Filling * Unit Cost Filling + Qty Dough * Unit Cost Dough

IngredientCost

Profit

Total Cost

Unit CostFilling

Unit CostDough

RequiredIngredientQuantities

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Examples