Rivera Company manufactured two products, A and B, during April. For purposes of product costing, an overhead rate of $2.00 per direct-labor hour was used, based on budgeted annual factory overhead of $500,000 and 250,000 budgeted annual direct-labor hours, as follows: Budgeted Overhead Budgeted Hours
Department 1 $300,000 200,000
Department 2 200,000 50,000
$500,000 250,000

The number of labor hours required to manufacture each of these products was:

Product A Product B
In Department 1 3 1
In Department 2 1 3
Total 4 4

During April, production units for products A and B were 1,000 and 3,000, respectively.

Required:
a. Using a plantwide overhead rate, what are total overhead costs assigned to products A and B, respectively?
b. Using departmental overhead rates, what are total overhead costs assigned to products A and B, respectively?
c. Assume that materials and labor costs per unit of Product B are $10 and that the selling price is established by adding 40% of total costs to cover profit and selling and administrative expenses. What difference in selling price would result from the use of departmental overhead rates?

Solution :

a). The assigned total cost is :

Total overheads                                 $ 500,000

Total hours                                             250,000

Plantwide overhead rate                        $ 2

Cost assigned to :

A ( 2 x 4 x 1000)                                   $ 8,000

B ( 2 x 4 x 3000)                                  $ 24,000

b).                                                      Department 1         Department 2

Overheads                                       $ 300,000                 $ 200,000

Hours                                                   200,000                       50,000

Overhead rate                                 $ 1.50                           $ 4.00

Overheads for the product A                        $ 8,500

  (1.5 x 3 + 4 x 1) x 1000

Overheads for the product B                        $ 40,500

  (1.5 x 3 + 4 x 1) x 3000

c).                                                          Plant wide          Departmental

material and labor                                  $ 10                        $ 10

overheads                                               $ 8                         $ 13.50

Total                                                         $ 18.00                  $ 23.50

Add: profit                                                $ 7.20                    $ 9.40

Selling price                                             $ 25.20                 $ 32.90

The difference               $ 7.70

Therefore, the increase in the selling price = $ 7.70

i'ts proportional. if the inflation rate is 12% for example, the cpi will be 12% less.

hope it ,

bioteacher101