MANAGEMENT SCIENCE REVIEWER (FINALS) NONLINEAR PROGRAMMING NONLINEAR PROFIT ANALYSIS Z = vp - cf – vcv Where: v = sales volume p = price cf = fixed cost cf = variable cost 1 MANAGEMENT SCIENCE REVIEWER (FINALS) 2 MANAGEMENT SCIENCE REVIEWER (FINALS) CONSTRAINED OPTIMIZATION 3 MANAGEMENT SCIENCE REVIEWER (FINALS) 4 MANAGEMENT SCIENCE REVIEWER (FINALS) PROBABILITY AND STATISTICS Mutually exclusive events: P(A or B) = P(A) + P(B) Probability that non-mutually exclusive: P(A or B) = P(A) + P(B) - P(AB) Statistical Independence and Dependence Independent events: Standard Deviation Sample Mean and Variance 5 MANAGEMENT SCIENCE REVIEWER (FINALS) 6 MANAGEMENT SCIENCE REVIEWER (FINALS) FORECASTING Moving Average Weighted Moving Average Exponential Smoothing Adjusted Exponential Smoothing 7 MANAGEMENT SCIENCE REVIEWER (FINALS) Linear Trend Line Seasonal Adjustments Mean Absolute Deviation Mean Absolute Percent Deviation Cumulative Error Average Error 8