Coates Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on machine-hours. The company based its predetermined overhead rate for the current year on total fixed manufacturing overhead cost of $249,000, variable manufacturing overhead of $3.80 per machine-hour, and 30,000 machine-hours. The company has provided the following data concerning Job X784 which was recently completed: Number of units in the job 50 Total machine-hours 250 Direct materials $ 470 Direct labor cost $5,500 If the company marks up its unit product costs by 30% then the selling price for a unit in Job X784 is closest to:

Selling price per unit= $233.87

Explanation:

Giving the following information:

Overhead:

Estimated overhead= $249,000

Variable manufacturing overhead= $3.80 per machine-hou

Estimated machine-hours= 30,000 machine-hours.

Job X784:

Number of units in the job 50

Total machine-hours 250

Direct materials $ 470

Direct labor cost $5,500

Selling price= 30% mark up

First, we need to calculate the predetermined overhead rate:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= (249,000/30,000) + 3.8

Predetermined manufacturing overhead rate= $12.1 per machine hour

Now, we can determine the total cost of Job X784:

Total cost= 470 + 5,500 + (12.1*250)

Total cost= $8,995

Finally, the selling price per unit:

Unitary cost= 8,995/50= $179.9

Selling price per unit= 179.9*1.30= $233.87

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