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During a year, Teri's monthly sales compensation ranged between $19,500 and $26,500 per month and...

Question:

During a year, Teri's monthly sales compensation ranged between $19,500 and $26,500 per month and units sold ranged between 1,400 and 2,200 units for those same months.

Required:

Use the high–low method to determine Teri's monthly salary and commission rate per unit sold and then calculate the total number of units sold in a year when Teri's total compensation amounted to $235,750. (Round your "Commission rate" to 2 decimal places.)

Mixed cost formula

Mixed costs exhibit both variable and fixed components in its cost behavior. This means total mixed cost will change as activity changes but not in a direct or proportional relationship.

To estimate the mixed cost one method to use is the high-low method. This method takes into account the high activity data point and the low activity data point to estimate the mixed cost, assuming there is a linear behavior:

C=vx + f

where C is total mixed cost

v is variable cost per unit

x is activity level

f is total fixed cost

To determine the variable cost per unit we use the following formula:

v = (y2-y1) / (x2-x1)

Once we have determined the v we can sub it and one of the points into our mixed cost formula to solve for f.

Answer and Explanation: 1

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v = ($26,500 - 19,500) / (2,200 units - 1,400 units)

v = $8.75/unit

C = $8.75x + f

$26,500 = $8.75 * (2,200 units) + f $7,250 = f

C= $8.75x +...

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High-Low Method Accounting | Definition, Formula & Examples

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Chapter 22 / Lesson 29
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Understand the high-low method in accounting. Learn the formulas for the high-low method. Learn how to compute variable cost per unit, fixed cost, and cost model.


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