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