# Operations Research and Reliability-Finding Solutions in 22, 2xm and Mxn Games (ISS (Statistical Services) Statistics Paper IV): Questions 1 - 1 of 1

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## Question number: 1

» Operations Research and Reliability » Finding Solutions in 22, 2xm and Mxn Games

Appeared in Year: 2015

### Describe in Detail

Prove that the number of basic variables is a balanced transportation problem is at most , where m is the number of origins and n is the number of destinations.

### Explanation

First note that there are in all m + n constraints. We shall show that one of these is redundant so that there are in effect equation in mn variables and hence at most basic variable are there. We note

Summing the m constraints of eq (1), we get

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