A job order cost sheet for Carla Vista Company is shown below.

Job No$.92$

For $2,000$ Units

Direct

Direct

Manufacturing

Date

Materials

Labor

Overhead

Beg. bal. Jan. $1$

$6,400$

$7,000$

$4,900$

$8$

$7,000$

$223$

$12$

$10,000$

$7,500$

$25$

$2,800$

$27$

$4,000$

$3,000$

$16,200$

$21,000$

$15,400$

Cost of completed job:

Direct materials

$$16,200$

Direct labor

$21,000$

Manufacturing overhead

$15,400$

Total cost

$$52,600$

Unit cost $($$$52,600=2,000)$

$$26\mathrm{.}30$

$($a$)$ On the basis of this data, answer the following questions.

$(1)$ What was the balance in Work in Process Inventory on January $1$ if this was the only unfinished job?

Balance in Work in Process Inventory on January $1$

$

$(2)$ If manufacturing overhead is applied on the basis of direct labor cost, what overhead rate was used in each year? $($Round answers to O decimal places, e$.$g$.55\%.)$