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 plantvide 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 Fabrication Department factory overhead $557,750.00 Assembly Department factory overhead 257,550.00 Total $815,300.00 Direct labor hours were estimated as follows: Fabrication Department 4,850 hours Assembly Department 5,050 Total 9,900 hours In addition, the direct labor hours (dih) used to produce a unit of each product in each department were determined from engineering records, as follows: Production Departments Gasoline Engine Diesel Engine Fabrication Department 3.1 dih 2.1 dih Assembly Department 2.1 3.1 Direct labor hours per unit 5.2 dlh 5.2 dih Single Plantwide Method a. 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 base. If required, round all per direct labor hours and per-unit answers to the nearest cent. Gasoline engine $ Diesel engine per unit per unit heer unit Multiple Production Department Method b. 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. If required, round all per-unit answers to the nearest cent. per unit Gasoline engine $ Diesel engine $ per unit Final Questions C. (1) Recommend to management a product costing approach, based on your analyses in (a) and (b). (2) Give a reason for your answer. (1) Management should change to the multiple production department factory overhead rate method. Management should continue to use the single plantwide overhead rate method. Management is indifferent, since either method yields the same result In this case, the single plantwide method causes cost distortion, so the multiple production department method should be used In this case, the multiple production department method causes cost distortion, so the single plantwide method should be used. In this case, the factory overhead rates for each product are the same under either method; therefore, the company should choose single plantwide method since it's easier to implement