the totals seem off when adding the problem $2.$ Titan Susan Li$,$ vice president for operations of HHN$,$ Inc., a manufacturer of cabinets for telephone switches, is constrained from meeting her $5-$year forecast by limited capacity at the company's three existing plants. These plants are Waterloo, Pusan, and Bogota. As her able assistant, you have been told that because of existing capacity constraints and the expanding world market for HHN cabinets, a fourth plant is to be added. The real estate department has advised Susan that two sites seem particularly good because of stable political situations and tolerable exchange rates. These two locations are Dublin, Ireland and Fontainebleau, France. Susan suggests that from the data collected in the following table, which provide production and transportation costs, you should be able to determine where the fourth plant should be located.

Solve this problem and explain the selected choice to Susan. Also, provide the delivery schedule of your solution.

Plant Location

Market Area Waterloo Pusan Bogota Fontainebleau Dublin

Canada:

Demand $4000$

Production Cost $5030405045$

Transportation Cost $1025202525$

South America: Demand $5000$

Production Cost $5030405045$

Transportation Cost $2025103030$

Pacific Rim:

Demand $10000$

Production Cost $5030405045$

Transportation Cost $2510254040$

Europe:

Demand $5000$

Production Cost $5030405045$

Transportation Cost $2540301020$

Capacity $80002000500090009000$