Ironstone Incorporated produces ceramic coffee mugs and pencil holders. Manufacturing overhead is assigned to production using an application rate based on direct labor hours.

Required:

a$.$ For $2022,$ the company's cost accountant estimated that total overhead costs incurred would be $$475,200$ and that a total of $54,000$ direct labor hours would be worked. Calculate the amount of overhead to be applied for each direct labor hour worked on a production run.

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

b$.$ A production run of $400$ coffee mugs used raw materials that cost $$460$ and used $40$ direct labor hours at a cost of $$10\mathrm{.}40$ per hour. Calculate the cost of each coffee mug produced.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

c$.$ At the end of August $2022,320$ coffee mugs made in the production run in part $b$ had been sold and the rest were in ending inventory. Calculate $(1)$ the cost of the coffee mugs sold that would have been reported in the income statement and $(2)$ the cost included in the August $31,2022,$ finished goods inventory.

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.

a$.$ Predetermined overhead application rate

b$.$ Cost per coffee mug produced

c$.$ Cost of coffee mugs sold

c$.$ Cost of coffee mugs in inventory

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