How much to promotion in order to maximize sales

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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)=91x^(1/2)*y^(3/2) units of the product will be sold.

a. How much money should the editor allocate to development and how much to promotion in order to maximize sales?

Development:_________dollars.

Promotion:_________dollars.

b. Suppose the editor is allotted an extra $1000 for development and promotion. Use the Lagrange multiplier λ to estimate the change in the maximum sales level.

Increase of:_______units sold.

Reference no: EM131079667

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