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EOQ with discounts

Forums › ACCA Forums › ACCA FM Financial Management Forums › EOQ with discounts

  • This topic has 3 replies, 2 voices, and was last updated 14 years ago by Anonymous.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • November 22, 2011 at 4:43 pm #50638
    paru
    Member
    • Topics: 5
    • Replies: 7
    • ☆

    If the EOQ calculated falls within the discount range….what has to be done?
    Please solve this question as an illustration:
    A company has a demand for 45,000 components pa, which cost $4.50 each. Ordering costs amount to $100 per order. Annual cost of holding one component in inventory is $0.65.
    A 0.5% discount is available on orders of at least 3,000 components and 0.75% on 6,000 components or more.

    Calculate the optimal order quantity.

    November 26, 2011 at 7:37 am #90065
    Anonymous
    Inactive
    • Topics: 0
    • Replies: 52
    • ☆☆

    if discount offered, when u comapre the different options, you need to calcluate these 3 options which one is the cheapest. you need to compare total inventory cost=holding +ordering + purchase price

    USING EOQ:
    EOQ=3000
    holing cost=?3000/2)x 0.65=975
    ordering cost=100x 45000/3000=1500
    purchasing cost=45000×4.50x(1-0.5%)=201487.4
    total=975+1500+201487.4=203962.5

    if order 6000 or more

    holding=6000/2 x0.65=1950
    ordering=100x 45000/6000=750
    purchasing=45000×4.5x(1-0.75%)=200981.25
    total=1950+750+200981.25=203681

    order 6000 or more will be beneficial to the company

    November 26, 2011 at 11:53 am #90066
    paru
    Member
    • Topics: 5
    • Replies: 7
    • ☆

    thanks a lot!

    November 29, 2011 at 3:50 am #90067
    Anonymous
    Inactive
    • Topics: 0
    • Replies: 52
    • ☆☆

    you are welcome

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