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30 August, 16:33

Song, Inc., uses the high-low method to analyze cost behavior. The company observed that at 22,000 machine hours of activity, total maintenance costs averaged $33.40 per hour. When activity jumped to 25,000 machine hours, which was still within the relevant range, the average total cost per machine hour was $30.40. On the basis of this information, the fixed cost was:

a. $550,000.

b. $734,800.

c. $760,000.

d. $184,800.

e. $210,000.

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  1. 30 August, 18:39
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    a. $550,000

    Explanation:

    The total maintenance cost at 22,000 machine hours is given as:

    Total maintenance costs=22,000*33.40=$734,800

    The total maintenance cost at 25,000 machine hours is given as:

    Total maintenance costs=25,000*30.40=$760,000

    Variable cost per unit=760,000-734,800/25,000-22,000

    =$8.4 per unit

    Total costs=fixed costs+variable cost

    734,800=fixed costs+8.4*22,000

    Fixed cost=734,800-184,800=$550,000

    So the answer is a. $550,000
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