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 |
8550 | 37325 |
6500 | 31847 |
7100 | 32947 |
9100 | 38425 |
7500 | 34704 |
8000 | 35975 |
X Company estimates that 9,500 units will be produced in July. What are estimated fixed overhead costs for July [round variable costs per unit to two decimal places]?
High - Low Method
Variable cost per unit = (Cost at highest unit produced - Cost at lowest unit produced) / (Highest units produced - Lowest units produced)
= ($38,425 - $31,847) / (9,100 - 6,500)
= $6,578 / 2,600
= $2.53
Fixed cost at highest activity
Fixed cost = Total cost - Variable cost
= $38,425 - ($2.53 * 9,100)
= $38,425 - $23,023
= $15,402
Fixed cost at Lowest activity
Fixed cost = Total cost - Variable cost
= $31,847 - ($2.53 * 6,500)
= $31,847 - $16,445
= $15,402
Esimated fixed overhead costs for July = $15,402
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