Each year, Data Corporal produces up to 400 computers in Boston and up to 300 computers in Raleigh. Los Angeles customers must receive 400 computers, and 300 computers must be supplied to Austin customers.

Producing a computer costs $350 in Boston and $400 in Raleigh. Computers are transported by plane and can be sent through Chicago. The costs of sending a computer between pairs of cities are shown in the file P05_58.xlsx.

a. Determine how to minimize the total (production plus distribution) cost of meeting Data Corporal’s annual demand.

b. How would you modify the model in part a if at most 200 units could be shipped through Chicago?