Calculus Word Problem?

A manager has been allotted $8000 to spend on the development and promotion of a new product. It is estimated that if x thousand dollars are spent on development and y thousand dollars on promotion, approximately f(x,y)=44x^(1/2)*y^(3/2) units of the product will be sold.
How much money should the manager allocate to development and how much to promotion in order to maximize sales?

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