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If x is the number of thousands of dollars spent on labour, and y is the thousands of dollars spent on parts, then the output

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) = 42x1/7y6/7

WhereQis the output in millions of units of product.

Now, if $128,000 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.

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