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The total factory overhead for Big Light Company is budgeted for the year at $$2,137,610.$ Big Light manufactures two different products: night lights and desk lamps. Night lights are budgeted for $24,100$ units. Each night light requires $2$ hours of direct labor. Desk lamps are budgeted for $23,300$ units. Each desk lamp requires $3$ hours of direct labor.

a$.$ Determine the total number of budgeted direct labor hours for the year.

fill in the blank $1$ of $1$

direct labor hours

b$.$ Determine the single plantwide factory overhead rate using direct labor hours as the allocation base. Round your answer to two decimal places.

fill in the blank $1$ of $1$$

per direct labor hour

c$.$ Determine the factory overhead allocated per unit for each product using the single plantwide factory overhead rate determined in $($b$).$ Round your answers to two decimal places.

Night lights fill in the blank $1$ of $1$$

per unit

Desk lamps fill in the blank $1$ of $1$$

per unit