Bellingham Company produces a product that requires $2\mathrm{.}5$ standard pounds per unit. The standard price is $$4\mathrm{.}00$ per pound. If $15,000$ units required $36,000$ pounds, which were purchased at $$4\mathrm{.}25$ per pound, what is the direct materials $($a$)$ price variance, $($b$)$ quantity variance, and $($c$)$ total direct materials cost variance?