Introduction to Management Science with Spreadsheets Stevenson and Ozgur First Edition Part 1 Introduction to Management Science and Forecasting Chapter 1 Introduction to Management Science, Modeling, and Excel Spreadsheets McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. The Importance of Management Science • Management science –The discipline of applying advanced analytical methods to help make better decisions. –Devoted to solving managerial-type problems using quantitative models • Applications of management science –Forecasting, capital budgeting, portfolio analysis, capacity planning, scheduling, marketing, inventory management, project management, and production planning. Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–2 Table 1–2 Successful Applications of Management Science Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–3 Table 1–2 Successful Applications of Management Science (cont’d) Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–4 Problem Solving Approaches • Managers tend to use a qualitative approach to problem solving when 1. The problem is fairly simple. 2. The problem is familiar. 3. The costs involved are not great. Copyright © 2007 The McGraw-Hill Companies. All rights reserved. • Managers tend to use a quantitative approach when 1. The problem is complex. 2. The problem is not familiar. 3. The costs involved are substantial. 4. Enough time is available to analyze the problem. McGraw-Hill/Irwin 1–5 Advantages of the Quantitative Approach • Directs attention to the essence of an analysis: to solve a specific problem. • Improves planning which helps prevent future problems • Results in more objective decisions than purely qualitative analysis. • Incorporates advances in computational technologies to managerial problem-solving. Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–6 Models • A Model –An abstraction of reality. It is a simplified, and often idealized, representation of reality. • Examples : an equation, an outline, a diagram, and a map –By its very nature a model is incomplete. –Provides an alternative to working with reality • Symbolic models –Use numbers and algebraic symbols • Mathematical models –Decision variables –Uncontrollable variables Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–7 Deterministic versus Probabilistic Models • Deterministic models –Used for problems in which information is known with a high degree of certainty. –Used to determine an optimal solution to the problem. • Probabilistic models –Used when it cannot be determined precisely what values (requiring probabilities) will occur (usually in the future). Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–8 Figure 1–1 The Management Science Approach Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–9 Breakeven Analysis • Breakeven analysis (cost-volume analysis) –Is concerned with the interrelationship of costs, volume (quantity of output or sales), and profit. • The Break-Even Point (BEP) –The volume for which total revenue and total cost are equal. –The dividing line between profit and loss; sales higher than the break-even point will result in a profit, while sales that is lower than the break-even point will result in a loss. –Where you get “out of the red.” Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–10 Breakeven Analysis • Breakeven analysis (cost-volume analysis) –Is concerned with the interrelationship of costs, volume (quantity of output or sales), and profit. • Components of Break-Even Analysis –Volume: the level of output of a machine, department, or organization, or the quantity of sales. –Revenue: the income generated by the sale of a product. Total revenue = revenue per unit (selling price per unit) multiplied by units (volume) sold. –Costs: costs that must be taken into account • Fixed costs are not related to the volume of output. • Variable costs increase and decrease with output. Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–11 Assumptions of Break-Even Analysis • The revenue per unit is the same for all volumes. • The variable cost per unit is the same for all volumes. • Fixed cost is the same for all levels of volume. • Only one product is involved. • All output is sold. • All relevant costs are accounted for, and correctly assigned to either the fixed cost category or the variable cost category. Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–12 Figure 1–3 Total Revenue Increases Linearly as Volume Increases Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–13 Figure 1–4 Fixed Costs Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–14 Figure 1–5 Total Variable Cost Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–15 Figure 1–6 Total Cost Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–16 Figure 1–7 Profit and the Break-Even Point Profit Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–17 Example 1–1 Copyright © 2007 The McGraw-Hill Companies. All rights reserved. McGraw-Hill/Irwin 1–18
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