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Bortamord anticipates that a 90% learning curve will apply to the production of a new item. The first item will cost $2,000 in materials, and will take 500 labour hours. The cost per hour for labour and variable overhead is $5.  

You are required to calculate the total cost for the first unit and for the first eight units. 

BL is planning to manufacture a new product, product A. Development tests suggest that 60% of the variable manufacturing cost of product A will be affected by a learning and experience curve. This learning effect will apply to each unit produced and continue at a constant rate of learning until cumulative production reaches 4,000 units, when learning will stop. The unit variable manufacturing cost of the first unit is estimated to be $1,200 (of which 60% will be subject to the effect of learning), while the average unit variable manufacturing cost of four units will be $405. 

Required 

Calculate the rate of learning that is expected to apply. 

XX is aware that there is a learning effect for the production of one of its new products, but is unsure about the degree of learning. The following data relate to this product. 

Time taken to produce the first unit                                               28 direct labour hours

 Production to date                                                                           15 units 

Cumulative time taken to date                                                       104 direct labour hours 

What is the percentage learning effect? 

The costs of production runs consist of a mix of fixed and variable elements. The lowest number of production runs during the year was 120 during February, the highest number 150 during October. If the total costs of production runs in February were $80,000 and in October were $95,000, calculate the fixed and variable cost elements. 

 The management accountant of a business has identified the following information: 

       Activity level                             800 units                     1,200 units 

        Total cost                                 $16,400                         $23,600 

The fixed costs of the business step up by 40% at 900 units. 

What is the fixed cost at 1,100 units? 

A

 $6,400 

B

 $7,600 

C

 $10,000 

D

 $14,000 

The following table shows the number of clients who attended a particular accountancy practice over the last four weeks and the total costs incurred during each of the weeks: 

      Week                                           Number of clients                            Total cost 

                                                                                                                                $

           1                                                       400                                                  36,880

           2                                                        440                                                 39,840 

           3                                                        420                                                 36,800 

           4                                                        460                                                  40,000

 Applying the high low method to the above information, which of the following could be used to forecast total cost ($) from the number of clients expected to attend (where x = the expected number of clients)? 

A

 7,280 + 74x 

B

 16,080 + 52x 

C

 3,200 + 80x 

D

 40,000/x 

 The management accountant of a business has identified the following information: 

                   Activity level                              800 units                     1,200 units

                    Total cost                                  $16,400                         $23,600 

The fixed costs of the business step up by 40% at 900 units.  

What is the variable cost per unit? 

A

 $8.00 

B

 $18.00 

C

 $19.67 

D

 $20.00