11) the management of firebolt industries inc. manufactures gasoline and diesel engines through two production departments, fabrication and assembly. management needs accurate product cost information in order to guide product strategy. presently, the company uses a single plantwide factory overhead rate for allocating factory overhead to the two products. however, management is considering the multiple production department factory overhead rate method. the following factory overhead was budgeted for firebolt: question not attempted.1fabrication department factory overhead$550,000.002assembly department factory overhead250,000.003total$800,000.00 direct labor hours were estimated as follows: fabrication department5,000 hoursassembly department5,000total10,000 hoursin addition, the direct labor hours (dlh) used to produce a unit of each product in each department were determined from engineering records, as follows: production departmentsgasoline enginediesel enginefabrication department3.0 dlh2.0 dlhassembly department2.03.0direct labor hours per unit5.0 dlh5.0 dlha) determine the per-unit factory overhead allocated to the gasoline and diesel engines under the single plantwide factory overhead rate method, using direct labor hours as the activity basea measure of activity that is related to changes in cost. used in analyzing and classifying cost behavior. activity bases are also used in the denominator in calculating the predetermined factory overhead rate to assign overhead costs to cost objects. gasoline engine $ per unitdiesel engine $ per unitb) determine the per-unit factory overhead allocated to the gasoline and diesel engines under the multiple production department factory overhead rate method, using direct labor hours as the activity base for each department. gasoline engine $ per unitdiesel engine $ per unit