Tip Top Corp. produces a product that requires $16$ standard gallons per unit. The standard price is $$7$ per gallon. If $6,500$ units required $108,200$ gallons, which were purchased at $$6\mathrm{.}86$ per gallon, 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 $fill in the blank $1$

b$.$ Direct materials quantity variance $fill in the blank $3$

c$.$ Direct materials cost variance