Tyler Tooling Company uses a job order cost system with overhead applied to products on the basis of machine hours. For the upcoming year, the company estimated its total manufacturing overhead cost at $$248,000$ and total machine hours at $62,000.$ During the first month of operations, the company worked on three jobs and recorded the following actual direct materials cost, direct labor cost, and machine hours for each job:

$\backslash$table$[[,$Job $101,$Job,$102,$Job $103,$Total$],[$Direct materials used,$$10,900,$$$7,700,$$$5,100,$$$23,700,],[$Direct labor,$$17,700,$$$6,800,$$$5,800,$$$30,300,],[$Machine hours,$1,300,$hours,$2,400$ hours,$600$ hours,$4,300$ hours$]]$

Job $101$ was completed and sold for $$50,100.$

Job $102$ was completed but not sold.

Job $103$ is still in process.

Actual overhead costs recorded during the first month of operations totaled $$15,800.$

Required:

Calculate the predetermined overhead rate.

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

$2.$ Compute the total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations.

Note: Round your Intermedlate calculations to $2$ decimal places.

$3.$ Compute the balance in the Work in Process Inventory account at the end of the first month.

Note: Round your Intermediate calculatlons to $2$ decimal places.

$4.$ How much gross profit would the company report during the first month of operations before making an adjustment for over$-$or underapplied manufacturing overhead?

Note: Round your Intermedlate calculations to $2$ decimal places.

$5-$o$.$ Determine the balance in the Manufacturing Overhead account at the end of the first month.

Note: Round your Intermedlate calculations to $2$ decimal places.

$5-$b$.$ Is it over$-$ or underapplied?

$\backslash$table$[[1.$ Predetermined Overhead Rate,,per machine hour$],[2.$ Total Applied Manufacturing Overhead,,$],[3.$ Ending Work in Process Inventory,,$],[4.$ Gross profit,,$],[5-$a$.$ Balance,,$],[5-$b$.$ Is it over$-$ or underapplied?,,$]]$