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Financial Analysis, Planning and Forecasting Theory and Application. Chapter 23. Long-Range Financial Planning – A Linear-Programming Modeling Approach. By Cheng F. Lee Rutgers University, USA John Lee Center for PBBEF Research, USA. Outline. 23.1 Introduction 23.2 Carleton’s model
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Financial Analysis, Planning and ForecastingTheory and Application Chapter 23 Long-Range Financial Planning – A Linear-Programming Modeling Approach By Cheng F. Lee Rutgers University, USA John Lee Center for PBBEF Research, USA
Outline • 23.1 Introduction • 23.2 Carleton’s model • 23.3 Brief discussion of data inputs • 23.4 Objective-function development • 23.5 The constraints • 23.6 Analysis of overall results • 23.7 Summary • Appendix 23A. Carleton’s linear-programming model: General Mills as a case study • Appendix 23B. General Mills’ actual key financial data
23.3 Brief discussion of data inputs Table 23.3
23.3 Brief discussion of data inputs Table 23.3 Cont.
23.3 Brief discussion of data inputs Table 23.4
23.3 Brief discussion of data inputs Table 23.4 Cont.
23.4 Objective-function development (23.1) where
23.4 Objective-function development (23.2) (23.3) (23.3a)
23.4 Objective-function development (23.4) (23.5)
23.4 Objective-function development (23.6) (23.7a) (23.7b)
23.5 The constraints • Definitional constraints • Policy constraints
23.5 The constraints Fig. 23.1 Structure of the optimizing financial planning model. (From Carleton, W. T., C. L. Dick, Jr., and D. H. Downes, "Financial policy models: Theory and Practice," Journal of Financial and Quantitative Analysis (December 1973). Reprinted by permission.)
23.5 The constraints (23.8) (23.9) Because General Mills has no preferred stock or extraordinary items, AFC= ATP:
, 23.5 The constraints ,
23.5 The constraints Table 23.5 (a)
23.5 The constraints Table 23.5 (b)
23.5 The constraints To get the interest payment on long-term debt
23.5 The constraints AFC1+0.00441DL1=149.17 (23.10a) AFC2+0.00441DL2=173.45 (23.10b) AFC3+0.00441DL3=198.22 (23.10c) AFC4+0.00441DL4=226.05 (23.10d)
23.5 The constraints (23.11) where
23.5 The constraints (23.12a) (23.12b)
23.5 The constraints (23.13) where
23.5 The constraints (23.10e) (23.10f) (23.10g) (23.10h) (23.10i)
23.5 The constraints (23.14)
23.5 The constraints (23.15a) (23.15b) (23.15c) (23.15d)
23.5 The constraints (23.16) (23.17a) (23.17b)
23.5 The constraints (23.17c) (23.17d) (23.18a)
23.5 The constraints (23.18b) (23.18c)
23.5 The constraints (23.17f)
23.5 The constraints (23.17o)
23.5 The constraints Table 23.6
23.5 The constraints (23.17t)