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

The predetermined manufacturing overhead rate is $$10$ per direct labor hour $($$$16\mathrm{.}001\mathrm{.}6).$ It was computed from a master

manufacturing overhead budget based on normal production of $8,000$ direct labor hours $(5,000$ units$)$ for the month. The master

budget showed total variable costs of $$60,000($ $$7\mathrm{.}50$ per hour$)$ and total fixed overhead costs of $$20,000($ $$2\mathrm{.}50$ per hour$).$ Actual

costs for October in producing $4,800$ units were as follows.

The purchasing department bury the quantities of raw materials that are expected to be used in production each month. Raw

materials inventories, therefore, can be ignored.

$($a$)$

Compute all of the materials and labor variances. $

$($b$)$

Compute the total overhead variance. $ $($c$)$ Materials quantity variance :$ $($d$)$ Total Labor variance $ $($e$)$ Labor Price variance $ $($f$)$ Labor quanity variance $ $($g$)$ total overhead variance