Alvarado Company produces a product that requires $14$ standard pounds per unit. The standard price is $$4\mathrm{.}50$ per pound. If $5,100$ units used $72,800$ pounds, which were purchased at $$4\mathrm{.}41$ per pound, what is the direct materials $($a$)$ price variance, $($b$)$ quantity variance, and $($c$)$ cost variance? Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.

a$.$ Direct materials price variance

b$.$ Direct materials quantity variance

c$.$ Direct materials cost variance