Ifxis the number of thousands of dollars spent on labour, andyis the thousands of dollars spent on parts, then the output of a factory is given by:

Q(x,y) = 36x^1/6y^5/6

WhereQis the output in millions of units of product.

Now, if $162,000 is to be spent on parts and labour, how much should be spent on each to optimize output?

Round your answers to the nearest dollar.