Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Produce an additional 7 units

- This topic has 4 replies, 3 voices, and was last updated 2 years ago by John Moffat.

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- June 5, 2021 at 11:58 pm #623339
I got this question from the mock exam.

A company is starting to produce a new product. The first unit takes 42hrs to produce and the company has identified a learning rate of 80%.

How long will it take to produce an additional 7 units (to the nearest hour)?

Average time per unit for 8 units = 42 x (0.80)^(3) = 21.504hrs

Total time for 8 x 21.504= 172hrs

Time for additional 7 units = 172 – 42 = 130hrs

My question was why are they multiplying 0.80 to the root of 3?

June 6, 2021 at 3:07 am #623345It is not multiplied by the root of 3 but to the power of 3.

You can get the answer by 42*0.8*0.8*0.8 in the calculator (=21.504 hours).

Rest of your calculation is correct.June 6, 2021 at 9:49 am #623387Abhinav: Please do not answer questions in this forum because it is the Ask the Tutor Forum and you are not the tutor (but please do help people in the there Paper PM forum) 🙂

ythomas: Abhinav is correct in the it is to the power of 3 and not the root of 3. The reason it is to the power of 3 is that making 8 means doubling 3 times.

June 6, 2021 at 10:20 am #623402Apologies… I meant power of 3…

But how will I know in the exam what power to times it by?

June 6, 2021 at 4:09 pm #623460I answer this in my previous reply.

We are using the doubling rule, and making 8 is doubling 3 times. So it is to the power of 3.

I do suggest that you watch my free lectures on this because it is all explained in detail, with examples, in my lectures on learning curves.

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