Test
Optimisation problems
This test models geometric and economic optimisation situations. Students construct an objective function, determine its feasible domain, use derivatives to find an extremum and interpret the result in context.
Time left: 00:00:00
Sample questions
- A rectangle has perimeter ___ cm. What should one side be for maximum area?
- Profit is P(x) = −___x² + ___x. Which x maximises profit?
- An open-top box has square base side x and volume V = ___. Which function gives surface area?
- A rectangle against a wall uses ___ m of fence on three sides. What perpendicular side maximises area?
- For x > 0, f(x) = x + ___/x has its minimum at which x?
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