Discussion
Assertion (A): Doubling plant capacity raises the capital cost by roughly half again.
Reason (R): Cost scales with capacity raised to a power near 0.6.
Select the correct answer from the options below.
Answer: B
Correct answer: Both A and R are true, and R is the correct explanation of A
\(2^{0.6} = 1.52\), so doubling the capacity raises the cost by about half again - the assertion is the arithmetic consequence of the reason. The exponent below one reflects the fact that a vessel’s cost grows with its surface while its capacity grows with its volume.
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