Bellingham Company produces a product that requires $6$ standard pounds per unit. The standard price is $$10$ per pound. If $5,200$ units required $32,100$ pounds, which were purchased at $$10\mathrm{.}3$ per pound, what is the direct materials $($a$)$ price variance, $($b$)$ quantity variance, and $($c$)$ total direct materials cost variance? Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.