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    Optimisation - Rainwater Tank

    A 12,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres tall, and have radius at most 2 metres. Its base costs 50 dollars per square metre, and the sides and top cost 30 per square metre. What are the cheapest and most...
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    Optimisation - Computing Power

    A researcher has funds to buy enough computing power to number-crunch a problem in 5 years. Computing power per dollar doubles every 19 months. I am asked to find the when should the researcher buy his computer to have finished the problem as soon as possible. Another one to find is the...
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    Calculus - Oil Rig Optimisation

    The oil-well is 6km off shore. The refinery is on the coast, 8 km from the nearest point of land to the oil well. The costs is $ S per km to lay pipe along the shore but U times as much per km to lay pipe underwater. Pipe may be laid either straight to the refinery, or to an intermediate...
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