Felix & Company reports the following information.
Period Units Produced Total Costs
1 0 $ 2,500
2 400 3,100
3 800 3,700
4 1,200 4,300
5 1,600 4,900
6 2,000 5,500
7 2,400 6,100
8 2,800 6,700
9 3,200 7,300
10 3,600 7,900
(1) Use the high-low method to estimate the fixed and variable components of total costs.
(2) Estimate total costs if 3,000 units are produced.
Explanation
1.
Using the high-low method results in variable costs per unit of:
Cost of highest volume − Cost at lowest volume / Highest volume − Lowest volume = $7,900 − $2,500 / 3,600 − 0 = $5,400 / 3,600 = $1.50 per unit
Fixed costs = Total costs − (Variable costs per unit × Number of units)
Using results at the highest volume to solve for fixed costs
= $7,900 − ($1.50 × 3,600) = $2,500
Or, using results at the lowest volume to solve for fixed costs
= $2,500 − ($1.50 × 0) = $2,500
2.
If 3,000 units are produced, the estimated total cost is:
$2,500 + ($1.50 per unit × 3,000 units) = $7,000
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