Bellingham Company produces a product that requires $2\mathrm{.}5$ standard pounds per unit. The standard price is $$3\mathrm{.}75$ per pound. If $15,000$ units used $36,000$ pounds, which were purchased at $$4\mathrm{.}00$ 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.