1. Describe the process of solving an optimization problem as if you were trying to help someone understand this topic.

2. Suppose a business wants to produce canned pumpkin, and they need your help to use optimization to reduce the costs associated with canning the pumpkin pure. As is usual, the cans are in the shape of a circular cylinder, but the dimensions could vary. The volume of each can should be 15 oz. How would you help this business?

Some details to include:

What is the objective function? (i.e. what is being maximized or minimized?) A word description is fine. Describe the relevant constraint(s). What variable is the objective function in terms of? What is the domain of the objective function?

You do not need to solve the problem. You do not necessarily have to include a lot of detail.