Question: [10 Marks]

1. Find \({{f}_{X}}\) and \({{f}_{Y}}\) of the function \(f\left( x,y \right)={{x}^{2}}y\).
2. A manufacturer estimates that when x units of a particular commodity are produced each month, the total cost (in dollars) will be

\(C\left( x \right)=\frac{1}{8}{{x}^{2}}+4x+200\)

and all units can be sold at a price of p(x) = 49 - x dollars per unit. Determine the price that corresponds to the maximum profit.

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document