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How do you solve the optimal assignment problem for the

How do you solve the optimal assignment problem for the following array by solving two dual problems? Also, how many optimal solutions are there for the array and why?

J1 | J2 | J3 | J4 | J5
P1| 2 | 3 | 4 | 3 | 5
P2| 1 | 3 | 2 | 1 | 3
P3| 3 | 5 | 2 | 3 | 3
P4| 4 | 4 | 2 | 1 | 4
P5| 3 | 1 | 4 | 4 | 3

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