Answer:
Part A:
The optimization objective is the surface area, A.
Part B:
The constraint is the volume V, unknown constant.
Part C:
We have to analyze
A' = 0
Explanation:
Part A:
Since we're being asked about the minimum surface area, we can conclude that the optimization objective is the surface area, A.
Part B:
Since we'll obtain a first relation between x and y from the expression of volume, we can conclude that the constraint is the volume V, unknown constant.
Part C:
Since the optimization objective is the surface area A, we have to analyze
A' = 0