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27 July, 06:40

Hat Company sells two types of hats: knit hats with a selling price of $15 and variable costs of $5, and hard hats with a selling price of $25 and variable costs of $10. Knit hats comprise 80% of all sales. If fixed costs are $22,000, how many knit hats and hard hats must be sold for the Hat Company to break even

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  1. 27 July, 08:10
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    Knit units = 1,600

    Hard units = 400

    Explanation:

    The calculation of sold of knit hats and hard hats is shown below:

    For computing the sold of knit hats and hard hats first we need to find out the total of Knit Hats and Hard Hats and secondly we need to find out the Break even sales in units

    Knit Hats Hard Hats Total

    Sales a $15.00 $25.00

    Less: Variable

    Expenses b $5.00 $10.00

    Contribution Margin $10.00 15.00

    c = a - b

    Weight d 0.80 0.20

    Weighted Contribution 8.00 11.00

    e = c * d

    Now,

    Break even sales in units = Fixed cost : Contribution margin per unit

    =$22,000 : 11

    = 2,000 units

    So,

    Knit Hats to be sold = Break even sales in units * Knit percentage

    =2000 * 80%

    = 1,600 units

    Hard Hats to be sold = Break even sales in units * Hard hats percentage

    = 2,000 * 20%

    = 400 units
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