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21 April, 09:10

Widgeon Co. manufactures three products: Bales, Tales, and Wales. The selling prices are $55, $78, and $32, respectively. The variable costs for each product are $20, $50, and $15, respectively. Each product must go through the same processing in a machine that is limited to 2,000 hours per month. Bales take 5 hours to process; Tales 7 hours; and Wales 1 hour. Assume that Widgeon Co. produced enough product with the highest contribution margin per unit to use 1,000 hours of machine time. Product demand does not warrant any more production of that product. The maximum additional contribution margin that can be realized by utilizing the remaining 1,000 hours on the product with the second highest contribution margin per hour is

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  1. 21 April, 09:19
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    Contribution = $35 X 2,00 = $7,000

    But it has no warrant of demand therefore this additional contribution can only be realized on sale of 2,00 units.

    Explanation:

    Provided

    Products Bales Tales Wales

    Selling Price $55 $78 $32

    Less: Variable Cost $20 $50 $15

    Contribution per unit = $35 $28 $17

    Hours per unit required 5 7 1

    Contribution per hour $35/5 $28/7 $17/1

    $7 $4 $17

    Second highest contribution margin per hour is of Bales, first is of Wales. We need to produce and sale the product with second highest margin per hour that is Bales, but since the first 1,000 units were used to produce goods with highest contribution margin per unit, and provided here is no warrant of its demand, it shall not be produced any further.

    Now Wales shall be produced as it has highest contribution margin per hour.

    Units produced within 1,000 hours of Wales = 1,000/1 hours = 1,000 units.

    Contribution = 1,000 units of Wales X $17 = $17,000.

    But it is asked - maximum additional contribution margin that can be realized by utilizing the remaining 1,000 hours on the product with the second highest contribution margin per hour is of Bales in that case

    No of units = 1,000/5 = 2,00 units

    Contribution = $35 X 2,00 = $7,000

    But it has no warrant of demand therefore this additional contribution can only be realized on sale of 2,00 units.
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