Abstract
This chapter discusses the linear programming. It discusses the inequalities which arise from the position of straight lines drawn in the Cartesian plane. A straight line given by the equation y = x creates two half planes that represent the inequalities y <x and y >x. There are three forms for the equation to a straight line, and they are (1) y = mx + c; (2) Ax By = C; and (3) x/a + y/b = 1, a≠0, b≠0. Each form can be obtained from the other two by suitable manipulation. The type (3) is called the intercept form of the equation to the line and is particularly useful for a rapid drawing of the straight-line graph it defines. The chapter later discusses nonlinear programming. In nonlinear programming, the boundaries of the solution sets or regions may no longer be straight lines but apart from the increased difficulty of drawing curved boundaries the principles of optimisation remain the same.
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