MM305 Quantitative Analysis for Management Dr. Bob Lockwood Welcome MM305 Quantitative Analysis for Management Dr. Bob Lockwood

Seminar Outline Welcome! Syllabus Overview Contact Information for Instructor Seminar Rules and Format Discussion

Syllabus Overview All projects, discussion question posts, and seminar option 2 are due at 11:59 PM ET on the Tuesday that concludes each unit. Late projects will be accepted up to three units late with a 10% penalty per late unit, with the exception of Unit 9.

Instructor Contact Information Professor Andy Hynds Email: ahynds@kaplan.edu Office hours: By appointment In order to facilitate the tracking of assignments and all correspondence with me, please be sure to include your Course/section number and the unit number for the learning activity you are inquiring about. Your unit project MUST be saved and submitted to me using the following naming procedure: Firstname_lastname_unit #

Seminar Rules and Format Please show up on time for all seminars, participate often in a respectful manner, stay on topic, and stay until the end. If you do come late, please take your “seat” quietly. Social posts (Hi, Bye, rough day at work, my car broke down, etc.) will not help your participation grade. It is important that you try to participate rather than just simply watching. I highly recommend having your textbook handy and Excel QM and/or QM for Windows open during seminar. Usual format of seminar will involve discussing a concept and then working with the technology (Excel, Excel QM, PhStat2, or QM for Windows) applicable to that unit.

What is Quantitative Analysis (QA)? The use of statistical techniques to understand quantitative data and to identify relationships between and among variables. QA uses the scientific approach to managerial decision making. The development of a (mathematical) model of a real world scenario The model provides insight into the solution of the managerial problem Deterministic Models Where all the input data values are known with complete certainty Probabilistic Models Where some input data values are uncertain

What is Quantitative Analysis (QA)? QA uses the scientific approach to managerial decision making. Must consider both Quantitative and Qualitative factors. Quantitative Data Numerical factors such as expenses and revenues Qualitative Data Factors that effect the environment which are difficult to quantify, e.g. weather, state laws, new technology, etc. Raw Data Quantitative Analysis Meaningful Information

The Quantitative Analysis (QA) Approach Steps in Modeling: 1. Formulation Translating a problem scenario from words to a mathematical model 2. Solution Solving the model to obtain the optimal solution 3. Interpretation and Sensitivity Analysis Analyzing results and implementing a solution

The Quantitative Analysis (QA) Approach Steps in Modeling

Modeling in the Real World Models are or can be: complex expensive difficult to sell used in the real world by real organizations to solve real problems

How to Develop a Quantitative Analysis Model Profit = Revenue – Expenses Revenue= (selling price per unit)*(number of units sold) Expenses= Fixed cost + (variable cost per unit)*(number of units sold) Profit = sX - (f + vX) = sX - f - vX, where s = selling price per unit f = fixed cost v = variable cost per unit X = number of units sold

Break-Even Point (BEP) The BEP is the number of units sold that will result in $0 profit, so Revenue = Expenses Profit = sX - (f + vX) = sX - f – vX $0 = sX - f - vX $0 = (s-v)X – f X = f/(s-v) BEP = Excel QM Breakeven Analysis QM for Windows Breakeven/Cost-Volume Analysis

Excel QM’s Main Menu of Quantitative Models in Excel 2007

QM for Windows

Example: Break-Even Point (BEP) Let's say you manufacture widgets.  Each unit sells at $5.  It costs you $2 to make each one, and the fixed costs for the period are $750.  What is the break-even point in units and in sales revenue? First, identify what you know from the problem: s = selling price per unit = $5 f = fixed cost = $750 v = variable cost per unit = $2 We need to know: X = number of units sold Recall, BEP = $0 = (s-v)X – f , therefore X = f/(s-v) X = $750/($5-$2) = 250 units break-even sales revenue = 250 * $5 = $1,250

Example: Break-Even Analysis in Excel QM

Questions?