Determine whether the statement is true or false. In a transportation problem with total supply equal to total demand, if there are two origins and three destinations, and there is a unique optimal solution, the optimal solution will utilize 5 shipping routes. True or False

2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees.…

Consider the transportation problem having the following parameter table: Source Demand 12 2 Destination 1 8 a6 6 3 2 5 4 3 Supply 4 2 (a) Use the transportation simplex method to solve the above problem

Please answer and solve with solution & illustration for the attached problem. Thanks

An auto compant currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached Using the northwest-corner method, determine the initial allocated quantity for eachshipping route as well as the overall cost.