Definition
A mixed cost contains both fixed and variable components:
Total cost = Fixed part + (Variable rate × Activity)
Example: RM1,200 per month + RM0.10 per kWh.
Facts (core points)
- Total rises with activity; per-unit falls as volume increases (because the fixed part is spread).
- Common in utilities and services (two-part tariffs: base fee + usage fee).
- For analysis (e.g., CVP), you usually separate mixed costs into fixed + variable using High–Low, regression, account analysis, or engineering estimates.
- “Mixed” is different from step-fixed (jumps at capacity blocks) and from pure variable (no fixed base).
Elaboration
- Why it matters: You need the split to compute contribution margin, break-even, pricing, and to predict how costs change with volume.
- Relevant range: The variable rate and base fee are assumed stable only within normal capacity. Bulk discounts, overtime, or tiered tariffs can change the rate.
Tiny numeric illustration (High–Low method)
A delivery firm’s monthly vehicle cost:
- Low: 2,000 km → RM3,400
- High: 5,000 km → RM5,800
Compute variable rate ๐ฃ:
Difference in cost = RM5,800 − RM3,400 = RM2,400
Difference in km = 5,000 − 2,000 = 3,000 km
๐ฃ = 2,400 ÷ 3,000 = RM0.80 per km
Find fixed part ๐น using the high point:
Total = ๐น + ๐ฃ๐ = ๐น + 0.80 × 5,000 = ๐น + 4,000
So F = 5,800 − 4,000 = RM1,800
Cost equation: C = 1,800 + 0.80 × km
Examples (by context)
Quick exam tips
- Define mixed cost and write the equation.
- Show the split (e.g., High–Low with neat arithmetic).
- State the driver & relevant range.
- Contrast with pure fixed, pure variable, and step-fixed.
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