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OptimizationKnowledge SummaryIn optimization problems you are looking for the largest value or the smallest value of a function subject to some kind of constraintThe constraint will be some condition which can usually be described by some equation Before SolvingWhatare the unknowns given and conditionsDraw a diagram and identify where the given and unknown quantities are on the diagramIntroduce notation give the unknown quantities a symbol give the quantity that is being maximized or minimized a symbolExpress the quantity that is being maximized or minimized in terms of other symbols and form equations manipulate and solve these equations to get valuesExamples1 We want to construct a box whose base length is 3 times the base widthThe material used 2to build the top and bottom cost 10ft and the material used to build the sides cost 236ftIf the box must have a volume of 50ft determine the dimensions that will minimize the cost to build the box2Minimize C 102lw62wh 2lh 60w48wh2Constraint 50 lwh 3wh 604860120800 set to 0 and solve 0 1208001882118821 331882156463 5050 47050 3318821 1201600
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