X Company's accountant uses the high-low method to determine the parameters of the company's monthly overhead cost function, with units produced as the independent variable. She has the following past monthly observations to work with:
Units Produced | Cost |
6500 | 30882 |
8900 | 36714 |
6900 | 31932 |
7600 | 34990 |
8600 | 35714 |
7900 | 34664 |
X Company estimates that 9,300 units will be produced in July. What are estimated fixed overhead costs for July [round variable costs per unit to two decimal places]?
Highest activity cost = $36,714
Lowest activity cost = $30,882
Highest activity = 8,900
Lowest activity = 6,500
Variable cost per unit = (Highest activity cost - Lowest activity cost)/(Highest activity - Lowest activity)
= (36,714-30,882)/(8,900-6,500)
= 5,832/2,400
= $2.43 per unit
Fixed cost = Highest activity cost - Highest activity x Variable cost per unit
= 36,714- 8,900 x 2.43
= 36,714-21,627
= $15,087
estimated fixed overhead costs for July = $15,087
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