Budgeting for maximum production. A manufacturing firm has budgeted $60,000 per month for labor and materials. als.

Question:

Budgeting for maximum production. A manufacturing firm has budgeted $60,000 per month for labor and materials. als. If $x thousand is spent on labor and $y thousand is spent on materials, and if the monthly output (in units) is given by
N(x,y) = 4xy - 8x
then how should the $60,000 be allocated to labor and materials in order to maximize N? What is the maximum N?