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CHAPTER 3 THE CONCEPTUAL PAPER WORKSHEET

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Title: CHAPTER 3 THE CONCEPTUAL PAPER WORKSHEET


1
CHAPTER 3 THE CONCEPTUAL PAPER WORKSHEET
  • To solve the Break-Even Model
  • Through a table of relevant data, finding the
    answer where PROFIT is exactly zero.
  • Through a graphical representation of the
    relevant data, finding the answer from the graph.
  • Through a system of linear simultaneous
    equations, finding the answer by solving the
    system of linear equations.

2
  • CONCEPTUAL PAPER WORKSHEET (CPW)
  • To highlight the important modelling and package
    handling issues
  • The construction of a CPW is useful in three ways
  • To clarify any academic modelling issues.
  • To determine the size of the worksheet and the
    range of cells that will be used.
  • To identifies the range of package facilities
    that will need to be activated in constructing
    the model through a worksheet.

3
  • WHAT IS A WORKSHEET ?
  • A large two dimensional piece of paper
  • COLUMNS---LETTER LABELS
  • ROWS--- NUMBER LABELS
  • CELL/BOX---combination of COLUMN and ROW
  • Example Table 3.1
  • On WORKSHEET, the user enters instructions that
    enable the package to perform relevant data
    manipulations.
  • Two software packages
  • The SPREADSHEET package EXCEL
  • To be controlled through MENUS
  • The STATISTICAL package MNITAB
  • To be controlled through COMMANDS

4
  • User inputs of CPW
  • A clear specification of the academic issues (THE
    THEORETICAL MODEL )
  • Is the problem properly defined?
  • Is the model properly structured?
  • Are all the variables required specified?
  • Are the variables of interest properly defined?
  • Explicit recognition of the package handling
    facilities(BUILDING A WORKSHEET )

5
SECTION I CREATING A TABLE OF DATA
  • Four inputs into the Break-Even model
  • SELLING PRICE per unit (p) ,
  • FIXED COSTS (FC) ,
  • VARIABLE COST per unit (VC) , and
  • RANGE of OUTPUTS
  • q---quantity to produce
  • To determine SIZE of the worksheet to be created.

6
  • BASIC INPUTS
  • A1A23 (Table 3.2)
  • Cell A9 FORMULA A810
  • '' means that this cell input is a formula and
    not a label or a number
  • COPY the IDEA CONTAINED in A9 INTO A10 and then
    ALL THE WAY THROUGH TO A23.
  • TOTAL REVENUE COLUMN
  • B7TR
  • cell B8 FORMULA B3A8
  • PRICExQUANTITY
  • --RELATIVE and an ABSOLUTE CELL ADDRESS.
  • X is replaced by
  • COPY the idea contained in B8 into the cells B9
    THROUGH TO B23

7
  • TOTAL COST COLUMN
  • C7TC
  • C8 FORMULA B4B5A8
  • TC FC VCq
  • COPY the idea contained in C8 into the cells C9
    THROUGH TO C23
  • PROFIT
  • D7PROFIT
  • D8 FORMULA B8-C8
  • Copy the FORMULA in cell D8 into D9 THROUGH TO
    D23

8
  • FILE HANDLING FACILITIES ,
  • FILE/SAVE
  • FILE/OPEN
  • SUMMRY
  • DATA ENTRY entering both labels/names and
    formula
  • COPYING to copy a formula to other
  • FILE HANDLING to save and retrieve the worksheet

9
SECTION II WORKSHEET GRAPHS
  • What kind of graph is to be constructed?
  • pie charts, bar graphs , X-Y graph,
  • What is to measured along the X-axis?
  • Q quantity produced
  • What is to be measured up the Y-axis?
  • TR , TC and PROFIT
  • Labelling the Lines (TR , TC and PROFIT )

10
  • Graph Titles
  • Break-Even Analysis
  • Scaling of Axes

11
SECTION III GENERATING A NUMERICAL SOLUTION
  • Matrix A and Matrix b
  • E1E4 TR
  • F1F4 TC
  • G1G4 q
  • Matrix A is in the range E2 to G4

12
  • H1H4 RHS
  • Matrix b is in the range H2 to H4
  • Where to put the answer?
  • J1J4 ANSWER
  • To generate the answer by the following steps
  • inform the package as to the whereabouts of the
    matrix A.
  • inform the package that we would like to form the
    inverse of A , A-1.

13
  • inform the package where in the spreadsheet we
    would like to store the inverse matrix A-1
  • inform the package as to the whereabouts of the
    matrix b
  • inform the package that we would like to perform
    the multiplication A-1b
  • inform the package where we would like the answer
    to be displayed

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