1. SC consulting, a supply chain consulting firm must decide on the location of its home office. Its clients are located primarily in the 16 states listed in Table provided. These are four potential sites for home offices: Los Angeles, Tulsa, Denver, and Seattle. The annual fixed cost of locating an office in Los Angeles is $165,428, Tulsa is $131,230, Denver is $140,000 and Seattle is $145,000. The expected numbers of trips to each state and the travel costs from each potential site are shown in Table. Each consultant is expected to take at most 25 trips each year.

a. If there are no restrictions on the number of consultants at a site and the goal is to minimize costs, where should the home offices be located and how many consultants should be assigned to each office? What is the annual cost in terms of the facility and travel?

b. If, at most, 10 consultants are to be assigned to a home office, where should the offices be set up? How many consultants should be assigned to each office? What is the annual cost of this network?

State	Total # of trips	Cost from LA	Cost from Tulsa	Cost From Denver	Cost from Seattle
Washington	40	150	250	200	25
Oregon	35	150	250	200	75
California	100	75	200	150	125
Idaho	25	150	200	125	125
Nevada	40	100	200	125	150
Montana	25	175	175	125	125
Wyoming	50	150	175	100	150
Utah	30	150	150	100	200
Arizona	50	75	200	100	250
Colorado	65	150	125	25	250
New Mexico	40	125	125	75	300
North Dakota	30	300	200	150	200
South Dakota	20	300	175	125	200
Nebraska	30	250	100	125	250
Kansas	40	250	75	75	300
Oklahoma	55	250	25	125	300