Director duties and insolvent trading issue-spotting

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This is a benchmarking hypothetical, not legal advice. The law is as at FY2025-26 (Commonwealth). A sole director of a small proprietary company keeps trading and ordering stock on credit from suppliers, even though the company has stopped paying its debts as they fall due, has no realistic prospect of new funding, and the director has been warned by the bookkeeper that the company looks insolvent. The director also diverts a profitable customer contract to a separate company the director owns. Identify the statutory duties and the specific liability engaged by these facts. In your answer: (a) name the controlling Act, (b) name the directors' duties provisions engaged, and (c) name the insolvent trading provision engaged, and briefly state the key concept behind each.