Question: M & M Industries manufactures four products. The daily labor and raw materials required are given in the table below.

The unit profits are $25, $30, $27, and $32, respectively. M&M has three sites for locating its plant. The three sites differ primarily in the availability of labor and raw materials, as shown below. It wants to choose only one site. M&M wants to determine the optimal product mix that maximizes total profit with one site chosen.

a. Formulate the problem algebraically as a mixed binary integer program, by defining the decision variables, the objective function and the constraints

b. Determine the optimal solution using Solver.

[Note: Formulate and solve as a single linear program, not three separate linear programs].