Learning effect and Learning Curve 7 / 8

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MC Question 21

Chair Co has in development several new products. One of them is a new type of luxury car seat. The estimated labour time for the first unit is 12 hours but a learning curve of 75% is expected to apply for the first eight units produced. The cost of labour is $15 per hour.

The cost of materials and other variable overheads is expected to total $230 per unit. Chair Co plans on pricing the seat by adding a 50% mark-up to the total variable cost per seat, with the labour cost being based on the incremental time taken to produce the 8th unit.

What is the labour cost of the 8th unit?

A. $45·65
B. $75·94
C. $4·32
D. $3·04

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MC Question 22

Chair Co has in development several new products. One of them is a new type of luxury car seat. The estimated labour time for the first unit is 12 hours but a learning curve of 75% is expected to apply for the first eight units produced. The cost of labour is $15 per hour.

The cost of materials and other variable overheads is expected to total $230 per unit. Chair Co plans on pricing the seat by adding a 50% mark-up to the total variable cost per seat, with the labour cost being based on the incremental time taken to produce the 8th unit.

The first phase of production has now been completed for the new car seat. The first unit actually took 12·5 hours to make and the total time for the first eight units was 34·3 hours, at which point the learning effect came to an end.

Chair Co are planning on adjusting the price to reflect the actual time it took to complete the 8th unit.

What was the actual rate of learning which occurred?

A. 65·7%
B. 58·6%
C. 70·0%
D. 76·5%

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MC Question 23

Chair Co has in development several new products. One of them is a new type of luxury car seat. The estimated labour time for the first unit is 12 hours but a learning curve of 75% is expected to apply for the first eight units produced. The cost of labour is $15 per hour.

The cost of materials and other variable overheads is expected to total $230 per unit. Chair Co plans on pricing the seat by adding a 50% mark-up to the total variable cost per seat, with the labour cost being based on the incremental time taken to produce the 8th unit.

Another product which Chair Co has in development is a new design of high chair for feeding young children. Based on previous experience of producing similar products, Chair Co had assumed that a learning rate of 85% would apply to the manufacture of this new design but after the first phase of production had been completed, management realised that a learning rate of 80% had been achieved.

Which of the following statements could explain why the actual rate of learning differed from the rate which was expected?

(1) Staffing levels were stable during the first manufacturing phase
(2) There were machine breakdowns during production
(3) Assembly of the chairs was manual and very repetitive
(4) There was high staff turnover during this period
(5) There were minimal stoppages in the production process
(6) The design of the chair was changed several times at this early phase

A. (2), (3) and (4)
B. (1), (3) and (5)
C. (1), (5) and (6)
D. (2), (4) and (6)

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MC Question 16

A company predicted that the learning rate for production of a new product would be 80%. The actual learning rate was 75%. The following possible reasons were stated for this:

(i) The number of new employees recruited was lower than expected
(ii) Unexpected problems were encountered with production
(iii) Unexpected changes to Health and Safety laws meant that the company had to increase the number of breaks during production for employees

Which of the above reasons could have caused the difference between the expected rate of learning and the actual rate of learning?

A. All of the above
B. (ii) and (iii) only
C. (i) only
D. None of the above

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Question 3ab

Bokco is a manufacturing company. It has a small permanent workforce but it is also reliant on temporary workers, whom it hires on three-month contracts whenever production requirements increase. All buying of materials is the responsibility of the company’s purchasing department and the company’s policy is to hold low levels of raw materials in order to minimise inventory holding costs. Bokco uses cost plus pricing to set the selling prices for its products once an initial cost card has been drawn up. Prices are then reviewed on a quarterly basis. Detailed variance reports are produced each month for sales, material costs and labour costs. Departmental managers are then paid a monthly bonus depending on the performance of their department.

One month ago, Bokco began production of a new product. The standard cost card for one unit was drawn up to include a cost of $84 for labour, based on seven hours of labour at $12 per hour. Actual output of the product during the first month of production was 460 units and the actual time taken to manufacture the product totalled 1,860 hours at a total cost of $26,040.

After being presented with some initial variance calculations, the production manager has realised that the standard time per unit of seven hours was the time taken to produce the first unit and that a learning rate of 90% should have been anticipated for the first 1,000 units of production. He has consequently been criticised by other departmental managers who have said that, ‘He has no idea of all the problems this has caused.’

Required:
(a) Calculate the labour efficiency planning variance and the labour efficiency operational variance AFTER taking account of the learning effect.

Note: The learning index for a 90% learning curve is –0·1520 (5 marks)

(b) Discuss the likely consequences arising from the production manager’s failure to take into account the learning effect before production commenced. (5 marks)

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Question 1

Chair Co has developed a new type of luxury car seat. The estimated labour time for the first unit is 12 hours but a learning curve of 75% is expected to apply for the first eight units produced. The cost of labour is $15 per hour. The cost of materials and other variable overheads is expected to total $230 per unit.

Chair Co plans on pricing the seat by adding a 50% mark-up to the total variable cost per seat, with the labour cost being based on the incremental time taken to produce the 8th unit.

Required:
(a) Calculate the price which Chair Co expects to charge for the new seat.

Note: The learning index for a 75% learning curve is –0·415. (5 marks)

(b) The first phase of production has now been completed for the new car seat. The first unit actually took 12·5 hours to make and the total time for the first eight units was 34·3 hours, at which point the learning effect came to an end. Chair Co are planning on adjusting the price to reflect the actual time it took to complete the 8th unit.

Required:
(i) Calculate the actual rate of learning and state whether this means that the labour force actually learnt more quickly or less quickly than expected. (3 marks)

(ii) Briefly explain whether the adjusted price charged by Chair Co will be higher or lower than the price you calculated in part (a) above. You are NOT required to calculate the adjusted price. (2 marks)

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MC Question 5

Tech World is a company which manufactures mobile phone handsets. From its past experiences, Tech World has realised that whenever a new design engineer is employed, there is a learning curve with a 75% learning rate which exists for the first 15 jobs.

A new design engineer has just completed his first job in five hours.

Note: At the learning rate of 75%, the learning factor (b) is equal to –0·415.

How long would it take the design engineer to complete the sixth job?

A. 2·377 hours
B. 1·442 hours
C. 2·564 hours
D. 5 hours

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