Consider the feasible set in fig 11 a find an objective func

Consider the feasible set in fig 11 (a), find an objective function of the from ax +by that has its greatest valve at given point.

Solution

t turns out that the slope of the objective function is very much related to the solution to a linear programming problem.

The first indication of this may have been with that last maximization problem where P = 30x + 30y. If you were to find the slope of that line, you would get m = -1. The line segment x + y = 9 also has a slope of m = -1. Intelligent minds go hmmmmm.

In case you don\'t remember, when a line is in standard form like P = Ax + By, the slope is -A/B.

The graph of the profit function is called an iso-profit line. It is called this because \"iso\" means \"same\" or \"equal\" and the profit anywhere on the line is the same.