Show the details of your formulation, including: the definitions of the decision variables, including their units and their bounds, the objective function and the constraints as mathematical expressions in the decision variables. Provide labels for the constraints and objective function indicating the physical meaning of each (e.g. "limit on capacity of plant 3"), and their units. Summarize the results in terms of the original problem as though you were reporting to a manager. If the results are unusual in any way, state why this might be so. Be succinct. Each solution should require no more than a couple of pages, but must also show the details of your solution.