The standard cost of product B manufactured by Shamrock Company includes $3$ units of direct materials at $$5\mathrm{.}70$ per unit. During June, the company purchases $29,000$ units of direct materials at a cost of $$5\mathrm{.}36$ per unit and uses $29,000$ units of direct materials to produce $9,500$ units of product $B.$

$($a$)$

Calculate the materials variance, and the price and quantity variances.