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.