Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Relevant Cost
- This topic has 10 replies, 2 voices, and was last updated 9 years ago by John Moffat.
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- November 10, 2015 at 11:51 am #281464
Sir could u pls explain the answer to this question: Event hough i have understood the concept of relevant costing
H has inventory 15,000 kg of M, a raw material which it bought for 3/kg five yrs ago, for a product line which was discontinued four yrs ago. M has no use in its existing state but could be sold as scrap for 1 per kg. One the company’s current products (HN) requires 4 kg of a raw material, available for 5 per kg. M can be modified at a cost of 0.75 per kg so that it may be used as a substitute for this material. However, after modification, 5 kg of M is required for every unit of HN to be produced.
H has now received an invitation to tender for a product which could use M in its present state.What is the relevant cost per kg of M to be included in the cost estimate for the tender?
November 10, 2015 at 2:36 pm #281494The original cost of M is not relevant, because it is a sunk cost.
The lost scrap value of $1 is not relevant because they will lose the $1 whether they modify and use it in HN or whether they use it for the new product.However if they use if for the new product, they will have to buy raw material specially for HN at a cost of $5 per kg, but they will save $0.75 a kg because they will not need to spend money modifying M.
So the relevant cost is 5 – 0.75 = $4.25 per kg.
November 10, 2015 at 2:53 pm #281498actually sir the answer key is $3.35 per kg. I don’t know how.
November 10, 2015 at 3:14 pm #281501Ooops – I have realised my mistake 🙂
I will start again!!
Currently, for every unit of HN they are using 5kg of M and are therefore paying 5 x 0.75 = 3.75 to modify it.
If they use M for the new product, then will not be paying 3.75 for every unit of HN but will instead have to pay for 4kg of raw material at $5, so a cost of $20 per unit.
Therefore every 5 kg of M that they use for the new product will cost them an extra 20 – 3.75 = $16.25. That means the cost per kg for taking M is 16.25 / 5 = $3.25
(I think you will find that the Kaplan Kit does show $3.25 as the correct answer (not $3.35))
Sorry about that 🙁
November 10, 2015 at 3:47 pm #281524and sir why did u deduct 3.75?
November 10, 2015 at 4:26 pm #281544Sir last question, when the question states “in its present state” it means that material M should use the same amount of kg in the new product as it is used in product HN?
November 11, 2015 at 7:51 am #281645I subtracted 3.75 because although they will have to pay for the other material, they will save from not having to modify material M.
No – present state simply means it will not need modifying.
November 11, 2015 at 8:15 am #281650why did u divide 16.25 by 5? Its not clear to me.
November 11, 2015 at 8:52 am #281666Because (as I wrote before) for every 5kg that they use it will cost them an extra 16.25.
The question asks for the cost per kg and so if 5 kg is 16.25, then one kg is 16.25 / 5
November 11, 2015 at 4:28 pm #281749ok thanks 🙂
November 12, 2015 at 5:39 am #281846You are welcome 🙂
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