ABSTRACT
The subject of analytical methods serves as an excellent starting point before preceding to the last subject in this first Part — linear programming. This chapter provides the various sections: Breakeven Consideration, One Independent Variable, General Analytical Formulation of the Optimum, two Independent Variables and three Independent Variable. In solving many environmental and chemical engineering optimization problems, one often selects optimum conditions from the standpoint of economics. Here the thickness of the cover serves as the independent variable, and if the installed cost of the insulation and the LNG transportation leakage losses could both be determined as functions of the independent variable, a condition would exist for which the total cost is a minimum. The term y is the dependent variable that will later be referred to as the objective function and x is the independent variable.
