Compute the variable and fixed elements of utility costs


Problem: You have been hired as a consultant for Jones Inc. The company manufactures high-density compact disks and sells them to a wide variety of business clients.

Management is eager to learn more about the company's cost behavior. You have been provided the following data. Assume all production falls within the relevant range.

Spreadsheet

Month           Machine Hours    Utility Costs
January               290              $10,700
February              280               10,400
March                  320               11,600
April                    340               12,100
May                     350               12,400
June                    290               10,750
July                     300               10,800
August                 300              10,900
September           310              11,200
October                340             12,200
November            290             10,600
December            310             11,000

1. Using the high-low method, compute the variable and fixed elements of Jones' utility costs.

2. Plot the information on a scattergraph. Based on your graph, determine the unit variable cost and monthly fixed costs.

3. Using the least squares method (either the equation approach or a software package), calculate the variable and fixed cost components. Determine the cost formula.

4. Interpretive Question: Why are the variable cost per unit and fixed costs different for each of these methods of analysis? Which method is the most accurate for determining variable and fixed cost components?

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Basic Statistics: Compute the variable and fixed elements of utility costs
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