Question You have 60 meters of flexible edging to border a rectangular herb garden against a long brick wall — the wall replaces one side, so edging covers only three sides. You want maximum planting area. Optimization is a plot: translate the story into a function of one variable, find critical points where the derivative is zero or undefined, and check endpoints of the realistic domain.
Consider
Build an objective function from a constraint story Find critical points and test them Include domain endpoints in the comparison when relevant Justify a max/min with first-derivative or endpoint reasoning
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60 m edging 3 sides + wall Maximize area Critical ≠ auto max Check endpoints
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