BatCo makes baseball bats. Each bat requires $2$ pounds of wood at $$18$ per pound and $0\mathrm{.}25$ direct labor hour at $$20$ per hour. Overhead is applied at the rate of $$40$ per direct labor hour.

Assume the actual cost to manufacture $100$ bats is $$5,400.$ Compute the total cost variance and identify it as favorable or unfavorable. $($Indicate the effect of the variance by selecting favorable, unfavorable, or no variance.$)$