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    janette28's Avatar
    janette28 Posts: 2, Reputation: 1
    New Member
     
    #1

    Jul 14, 2009, 08:19 AM
    Variable Cost to Break-even
    Question:

    General Mills makes wheaties, cheerios, betty crocker cake mixes, and other food products. The product manager of a new geeral mills cereal has determined that the appropriate wholesale price for a carton of the cereal is $48. Fixed costs of the production and marketing of the cereal is $15,000,000.00.

    1) the product manager estimates that she can sell 800,000 cartons at the $48 price. What is the largest variable cost per carton that can be paid and still achieve a profit of $1,000,000.00.

    2) Suppose the variable cost is $30 per carton. What profit (or loss) would be expected?


    This is how I answered -

    #1
    Given - Selling price - $48; Fixed cost - $15,000,000; units - 800,000; profit - $1,000,000 Find the vriable cost per unit

    Using the formula: Sales - Variable cost - Fixed Cost = Operating Income/Profit
    (48 x 800,000) - (vc x 800,000) - 15,000,000 = 1,000,000
    38,400,000 - 800,000vc - 15,000,000 = 1,000,000
    38,400,000 - 1,000,000 - 15,000,000 = 800,000vc
    22,400,000/800,000 = vc
    vc = 28 units

    #2
    If VC is $30 per carton; Find Profit/Loss

    Sales - VC - FC - Profit/Loss
    (48 x 800,000) - (30 x 800,000) - 15,000,000 = P/L
    38,400,000 - 24,000,000 - 15,000,000 = P/L
    - 600,000 = P/L

    There will be a loss of (600,000)


    Is this correct?
    morgaine300's Avatar
    morgaine300 Posts: 6,561, Reputation: 276
    Uber Member
     
    #2

    Jul 14, 2009, 09:47 PM

    Yes, it's all correct. Good job. :-)

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