question_answer

Minimize \[z=\sum\limits_{j=1}^{n}{{}}\sum\limits_{i=1}^{m}{{{c}_{ij}}\,{{x}_{ij}}}\] Subject to : \[\sum\limits_{j=1}^{n}{{{x}_{ij}}\le {{a}_{i}},\ i=1,.......,m}\]          \[\sum\limits_{i=1}^{m}{{{x}_{ij}}={{b}_{j}},\ j=1,......,n}\] is a (L.P.P.) with number of constraints [MP PET 1999]

A) \[m+n\]              

B) \[m-n\]

C) mn        

D) \[\frac{m}{n}\]