Arboles Company manufactures pencils and has the following information available for the month of July:

Work in process, July $1$

$(100\%$ complete for materials, $60\%$ for conversion$)$

$75,000$ units

Direct materials

$$5,000$

Conversion cost

$$17,500$

Number of units started

$100,000$ units

July costs

Direct materials

$$6,500$

Conversion cost

$$24,000$

Work in process, July $31$

$(100\%$ complete for materials, $10\%$ for conversion$)$

$70,000$ units

Required:

Using the weighted$-$average method of process costing, complete each of the following steps:

Reconcile the number of physical units worked on during the period.

Calculate the number of equivalent units.

Calculate cost per equivalent unit, rounded to five decimal places.

Reconcile the total cost of work in process.