Question

in an assignment problem involving 5 workers and 5 jobs total number of assignments possible are​

Answer 1

Given : assignment problem involving 5 workers and 5 jobs  

To Find :

How many feasible solutions does a 5 x 5 assignment problem have

How many variables does the formulation of 5 x 5 assignment problem have

How many constraints does a 5 x 5 assignment problem have?

Solution:

assignment problem involving 5 workers and 5 jobs  

feasible solutions  = ⁵P₅

= 5!

= 120

120 possible assignments

variables  the formulation of 5 x 5 assignment problem have

= 5 x 5

= 5²

= 25

constraints   a 5 x 5 assignment problem have

= 5  + 5

= 2 x 5

= 10

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