solve the problem with these conditions below

In an LTL (less-than-truckload) trucking company, terminal docks include casual workers who are hired temporarily to account for peak loads. At the Omaha, Nebraska dock, the minimum demand for casual workers during the seven days of the week (starting on Monday) is 12, 20, 14, 10, 15, 18, and 10 workers. Each worker is contracted to work five consecutive days, Develop the LP model, and determine an optimal weekly hiring practice of casual workers for the company using AMPL, Solver, or TORA. 2. The LP model should have AT-LEAST 15 Decision/Design/Control Variables. 3. The LP model should have AT-LEAST 10 Functional Constraints (i.e. excluding non-negativity or alike constraints), 4. All model parameters data should be presented, with clear relationships, in TABULAR format