The per$-$unit standards for direct labor are $1\mathrm{.}5$ direct labor hours at $$15$ per hour. If in producing $2,400$ units, the actual direct labor cost was $$46,000$ for $3,000$ direct labor hour worked, the total direct labor variance is:

a$.$ $$8,000$ favorable.

b$.$ $$2,400$ unfavorable.

c$.$ $$5,000$ unfavorable.

d$.$ $$8,000$ unfavorable.