Please do not use WinQSB etc. and please explain it.

A bank has two sites at which checks are processed. Site 1 can process 10,000 checks per day, and site 2 can process 6,000 checks per day. The bank processes three types of checks: vendor, salary, and personal. The processing cost per check depends on the site (see the following Table). Each day, 5,000 checks of each type must be processed. Site (c) Checks 1 Vendor 5 4 Salary Personal 2 5 a) Formulate it as a balanced transportation problem by constructing the appropriate transportation tableau. b) Use the northwest corner method to find a bfs for this problem. c) Solve it using the transportation simplex. 2 3 45 3