CO227 Lecture Notes - Lecture 5: Linear Programming, Travelling Salesman Problem, Ellipsoid Method

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The amount of weight in kg he will lose can be determined by the formula 5x2 y where x is the # of hours he exercise and y is the kg of food he consumes. Prof roh can do at most 3 hrs of exercise. He needs to eat at least 1 kg of food/day. He needs extra food in order to exercise where y2-x2-xy= 1. We need to solve a nonlinear program since some of the expressions are not linear: In general, nonlinear programs are the hardest to solve since the objective function and the constraints can be anything. Note: if a nonlinear program has an integer variable constraint, we still consider it a nonlinear program. Dealing /w nonlinear expressions is much harder than dealing with variable and linear expressions. In summary, there are 3 main types of programs:

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