I. Introduction.- II. Elements of the Mathematical Theory of Linear Programming.- III. A Practical Example.- IV. Linear Models of Production and Economic Optimization.- V. Industrial Applications.- VI. Computational Procedures for Solving Linear Programming Problems.- VII. Duality in Linear Programming.- VIII. The Effects of Coefficient Variations on the Solution.- IX. The Applicability of Linear Programming in Industry.- A. Proof of the Fundamental Theorem.- B. The Simplex Criterion.- C. The Simplex Algorithm.- D. Proof of the Duality Theorem.- Numerical Exercises.
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