A construction foreman has three earth moving machines that Machine can be operated by workers $$ A$,$ B$,$ C$,$ and D$$ at costs$/$hours$.($in $$)$ as designed in the matrix shown. $$Find the least$-$cost allocation of workers to machines$$ I,$$ II$,$ III,$$ and$$ IV$.$

$$ Machine$$

$$ I$$ II$$ III$$ IV$$

$--------------------------------------------------------------$

$$A$8624$

$$ Job$$B$671110$

$$C$3576$

$$D$510129$

$--------------------------------------------------------------$

The minimum total cost after assigning jobs to machines is:

Group of answer choices

$$24$

None of the above

$$34$

$$20$

$$32$