Apply the Hungarian method to solve the given assignment problem.

Task

$1$

$2$

$3$

$4$

Assignee

A

$12$

$9$

$0$

$9$

B

$9$

$11$

$12$

$0$

C

$11$

$10$

$9$

$11$

D

$10$

$10$

$11$

$0$

Cost incurred $=$ $