Case $10-17($Algo$)$ Worklng Backwards from Varlance Data $[$LO$10-1,$ LO$10-2,$ LO$10-3]$

Vitex, Incorporated, manufactures a popular consumer product and it provided the following data from its standard cost system:

Inputs

Direct materials

Direct labor

Variable manufacturing overhead

Total standard cost per unit

$(1)$ Standard

Quantity or Hours

$30$ pounds

$6$ b hours

$b$ hours

$(2)$

Total

Variances Reported

Standard cost$*$ Price or Rate

Quantity or

Direct materials

Direct labor

Variable manufacturing overhead

$$687,240$

$$273,60$

$$171,00$

$ $12,586F$

$$3,80U$

$$4,500F$

Efficiency

$$33,200U$

$$15,200U$

$$?{?}^{+}U$

$*$Applied to Work in Process during the period.

The company's manufacturing overhead cost is applied to production based on direct labor$-$hours. All of the materials purchased

during the period were used in production. Work in process inventories are insignificant and can be ignored.

Required:

How many units were produced last period?

How many pounds of direct material were purchased and used in production?

What was the actual cost per pound of material?

Note: Round your answer to $2$ declmal places.

How many actual direct labor$-$hours were worked during the period?

What was the actual rate paid per direct labor$-$hour?

Note: Round your answer to $2$ declmal places.

How much actual variable manufacturing overhead cost was incurred during the period?