Discussion
A plant of 100 tonnes a day capacity cost 10 million. By the six-tenths rule a 200 tonne plant would cost about
Answer: D
Correct answer: 15.2 million
The six-tenths rule scales cost with capacity raised to the power 0.6: \[ 10 \times 2^{0.6} = 10 \times 1.516 = 15.2\ \mathrm{million}. \] Doubling the capacity costs about half as much again rather than twice as much, which is the economy of scale the rule expresses.
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