The document includes several mathematical and operations research problems, which cover a variety of topics like linear programming, optimization, transportation, project management, and network diagrams.

Please specify which of the following problems you'd like me to work on first:

1. Maximizing profit for a firm (Linear Programming): Solve using graphical and simplex methods.
2. Assignment problem: Optimize sales allocation across regions.
3. Transportation problem: Apply the Least Cost method to minimize transport time.
4. Big M method problem: Solve a minimization LP problem with given constraints.
5. Project scheduling: Draw a network diagram and determine the critical path.
6. Product mix optimization: Solve using the simplex method.

Let me know your preference, and I'll provide the solution!