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17 March, 07:47

Piper Technology's fixed costs are $1,500,000, the unit selling price is $250, and the unit variable costs are $130. What is the amount of sales in units (rounded to a whole number) required to realize an operating income of $200,000? a. 16,000 units b. 14,167 units c. 11,538 units d. 12,500 units

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  1. 17 March, 08:00
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    141,667 units

    Explanation:

    The sales less the variable cost gives the contribution margin. The contribution margin less the fixed cost gives the net operating income.

    As such, the net operating income/loss is the difference between the sales and the total costs.

    Let the amount of sales in units be y then,

    250y - 130y - 1,500,000 = 200,000

    120y = 1,700,000

    y = 1700000/12

    = 141,667 units
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