In its last action before being shut down by the Trump administration, the EPA has required your factory to install new “extractor” equipment to reduce carbon dioxide emissions by at least 2 tons (4,000 pounds) per week. There are two choices: each extractor type X unit added will reduce emissions by 500 pounds per week; each extractor type Y unit added will reduce emissions by 800 pounds per week. X extractors cost $100,000 each, and Y’s cost $120,000 each. Write the objective function for this problem including whether it is MAX or MIN. Also, define each decision variable that you use.

Tips: This is a cost minimization problem. Also, ONLY the objective function is required, along with definitions of the decision variables in it.

You may find it helpful to write down constraint(s) in the problem.