operation research

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ABC Company produces mirrors and plates. A mirror requires 1 hour of labor and 9 square meters of glass, while a plate requires 1 hour of labor and 5 square meters of glass. In the company, 6 hours of labor and 45 square meters of glass are available. Each mirror contributes $8 to the profit and each plate contributes $5 to the profit. Formulate and resolve an IP model to maximize ABC's profits. (Note: You can solve this question with the branch-and-bound algorithm or Gomory cutting-plane method). ( You should obtain four sub-branch in Branch-and-bound algorithm. You should indicate graphical method in each sub-branch.) (In Gomory cutting-plane method, only a dual simplex application is sufficient.)