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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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...

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A company's annual fixed cost for producing a brand of clothing is 100,000 yuan, and an additional 27,000 yuan is required for every thousand pieces produced. Assume the company produces and sells x thousand pieces of this brand of clothing within a year, with the revenue per thousand pieces being R(x) in ten thousand yuan, where R(x) is defined as $$R(x) = \begin{cases} 10.8- \frac {x^{2}}{30}, & 0 < x \leq 10 \\ \frac {10.8}{x}- \frac {1000}{3x^{2}}, & x > 10\end{cases}$$.
(1) Write the analytical expression for the annual profit W (in ten thousand yuan) as a function of the annual production x (in thousand pieces);
(2) At what annual production volume (in thousand pieces) does the company achieve the maximum profit for this brand of clothing?
(Note: Annual profit = Annual sales revenue - Total annual cost)

Present the answer in LaTex format: \boxed{Your answer}
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