A bank has two sites at which checks are processed. Site 1 can process 10,000 checks per day, and site 2 can process 6000 checks per day. The bank processes three types of checks: vendor, salary, and personal. 5000 of each type of checks needed. The processing cost per check depends on the site (table below). Formulate a balanced transportation problem to minimize the daily cost of processing checks. Only formulation. Do not solve.
Complete formulation must be presented.
Site1 Site2
Vendor checks 5 cents 3 cents
Salary checks 4 cents 4 cents
Personal checks 2 cents 5 cents