You will be given a definition of a task first, then some input of the task.
In this task, you're given a statement, further information available on a particular linked term from the statement, and a question. Your job is to generate the answer to the question by using the information provided. If there is no clear answer obtainable, output 'none'.

Context: Ruth Mackenzie, CBE, (born July 1957) is artistic director of the Theatre du Chatelet in Paris, and a former director of Holland Festival. Before, she has served as the general director of Scottish Opera. Link Information: it was designed by Gabriel Davioud at the request of Baron Haussmann between 1860 and 1862. Question: Which was established first, the theatre that Ruth Mackenzie worked for, or the opera she worked for?
Output:
Answer: Theatre du Chatelet