The standard cost of Product B manufactured by Ivanhoe Company includes $3\mathrm{.}2$ units of direct materials at $$6\mathrm{.}60$ per unit. During June, $27,000$ units of direct materials are purchased at a cost of $$6\mathrm{.}45$ unit, and $27,000$ units of direct materials are us to produce $8,300$ units of Product B$.$

$($a$)$

Compute the total materials variance and the price and quantity variances.

Total materials variance

$

Materials price variance

$

Materials quantity variance

$

$($b$)$

Compute the total materials variance and the price and quantity variances, assuming the purchase price is $$6\mathrm{.}70$ and the quantity purchased and used is $27,000$ units.

Total materials variance

$

Materials price variance

$

Materials quantity variance

$