. A logistics specialist for Charm City Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation costs are:Assembly Plant1 2 3 Supply__________________________________________________________________A 6 10 14 200Factory B 2 2 6 400C 2 8 7 200__________________________________________________________________Demand 220 320 200The specialist wants to distribute at least 100 cases of parts from factory B to assembly plant 2.(a) Formulate a linear programming problem to minimize total cost for this transportation problem.(b) Solve the linear programming formulation from part (a) by using either Excel or QM for Windows. Find and interpret the optimal solution and optimal value. Please also include the computer output with your submission.The following questions are mathematical modeling questions. Please answer by defining decision variables, objective function, and all the constraints. Write all details of the formulation. Please do solve the problems after formulating.Project Votes/dollar________________________Parks 0.07Education 0.08Roads 0.09Health Care 0.11Family Welfare 0.08In order to also satisfy some local influential citizens, he must meet the following guidelines. None of the projects can receive more than 30% of the total allocation. The amount allocated to education cannot exceed the amount allocated to health care. The amount allocated to roads must be equal to or more than the amount spent on parks. All of the money must be allocated.Formulate a linear programming model for the above situation by determining(a) The decision variables(b) Determine the objective function. What does it represent?(c) Determine all the constraints. Briefly describe what each constraint represents.The number of TV ads cannot be more than 4. Each of the media must have at least two ads. The total number of Magazine ads and Newspaper ads must be more than the total number of Radio ads and TV ads. There must be at least a total of 12 ads. The advertising budget is $50,000. The objective is to maximize the total number reached.Formulate a linear programming model for the above situation by determining(a) The decision variables(b) Determine the objective function. What does it represent?(c) Determine all the constraints. Briefly describe what each constraint represents.Region (days)SalespersonI II III________________________________________A 11 18 12B 11 15 14C 10 14 16However, because of his health reason, salesperson C does not want to be assigned to region II.The Company wants to assign either salesperson A or salesperson C to region I. The objective is to minimize total time of covering the three sales regions.(a) The decision variables(b) Determine the objective function. What does it represent?(c) Determine all the constraints. Briefly describe what each constraint represents.