Rogen Corporation manufactures a single product. The standard cost per unit of product is shown below.Direct materials$1$ pound plastic at $$7\mathrm{.}00$ per poundDirect labor$1\mathrm{.}6$ hours at $$12\mathrm{.}00$ per hourVariable manufacturing overhead $(1\mathrm{.}6$ hours at $$7\mathrm{.}5)$Fixed manufacturing overhead $(1\mathrm{.}6$ hours at $$2\mathrm{.}5)$Total standard cost per unit$ $7\mathrm{.}0019\mathrm{.}2012\mathrm{.}004\mathrm{.}00$$$42\mathrm{.}20$The predetermined manufacturing overhead rate was computed from a master manufacturing overhead budget based on normal production of $8,000$ direct labor hours $(5,000$ units$)$ for the month. Actual costs for October in producing $4,900$ units were as follows.Direct materials $(5,100$ pounds$)$$ $36,720$Direct labor $(7,400$ hours$)92,500$Variable overhead$59,700$Fixed overhead$21,000$Total manufacturing costs$*$ $$209,920$The purchasing department buys the quantities of raw materials that are expected to be used in production each month. Raw materials inventories, therefore, can be ignored.Instructions:$1.$ Compute the price and quantity variances for direct materials$\mathrm{.}2.$ Compute the rate and efficiency variances for direct labor$\mathrm{.}3.$ Compute the variable overhead spending and efficiency variances$\mathrm{.}4.$ Compute the fixed overhead budget and volume variances.

Rogen Corporation manufactures a single product. The standard cost per unit of product is shown below.

$\backslash$table$[[$Direct materials $-1$ pound plastic at $$7\mathrm{.}00$ per pound,$$7\mathrm{.}00$