A company which makes sophisticated financial calculators has designed a new casing for its product which requires a different finish to the previous casing because the material type is a recently developed synthetic material and much stronger and more scratch-resistant than the previous plastic material used for the product casing. It is the first time the workforce will have to work with this new synthetic material. The design department selected a team of experienced workers to manufacture a trial batch of 10 calculators using the new material. After due consideration, management has decided to assume an 80% learning curve for production of the product, which is given below:

X (batches of 100units)	Y (%)	X (hours)	Y (%)
1	100	8	51.2
2	80	9	49.3
3	70.2	10	47.7
4	64.0	12	44.9
5	59.6	14	42.8
6	56.2	20	38.1
7	53.4	40	30.5

Also, a task analysis of the processes used to produce this first batch of calculators indicated the following direct inputs and average costs-per-calculator Direct material £300 Direct labor £200 each direct labor hour costs £90

Required: 

a) Estimate how many direct labor hours will be required to produce the fourth batch of calculators.

b) What is the prime cost per calculator for the fourth batch?

c) Assume after completing and selling the first 4 batches, the company receives an order from a wholesaler for a batch of 100 calculators. How many direct labor hours will be required to produce this batch of calculators?

d) If the company uses a cost plus margin approach to price its products, what is the price per calculator for the batch in part (c) if the company, in addition to material and labor costs also incurs variable overheads which are 75% of direct labor cost.

e) Critically assess some of the typical purposes for which learning curve estimations may be used by management accounting department.

Answer rating: 100% (QA)

Solution Direct Labour hours required to produce first batch of 100 calculators Direct labor hour per calculator direct labour costDirect labor cost p... View the full answer