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Fixed, Variable & Step Costs

lesson · about 3 minutes

How each cost moves when the business gets busier.

In your head, jot if needed · no calculator why?

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the idea

Costs are sorted by how the total moves when the business gets busier over the next few months, not by how often the bill arrives.

A fixed cost stays flat: rent. A variable cost moves with every unit: flour for each loaf. A mixed cost is a flat fee plus a charge per unit: a phone plan with a monthly fee and a charge per minute. A step cost stays flat until capacity runs out, then jumps by a whole chunk: one more van, one more supervisor.

techniques

Ask what one more unit does

Naming how a cost behaves.

  1. Picture the business doing one more unit of work.
  2. Nothing changes: fixed. A little more every time: variable.
  3. A flat fee plus a charge per unit: mixed.
  4. Nothing until a limit, then a whole chunk: step.
worked example

Example: A bakery pays $2,000 rent a month and $0.40 of flour for each loaf. How much do these two costs rise if it bakes 500 more loaves this month?

  1. Rent is fixed, so it does not move.
  2. Flour is variable: $0.40 × 500 = $200.

Answer: $200

Split a mixed bill

A bill is a monthly fee plus a charge per unit.

  1. The flat monthly fee is the fixed part.
  2. Rate × activity is the variable part.
  3. The total bill is the two added together. Answer only the part asked for.
worked example

Example: A delivery contract costs $150 per month plus $4 per stop. Last month had 300 stops. How much of last month's bill was variable?

  1. Variable: $4 × 300 = $1,200.
  2. The $150 fee is the fixed part; the whole bill was $1,350.

Answer: $1,200

Round step costs up

Each van, oven or person can handle only so much.

  1. Divide the demand by what one can handle.
  2. Any remainder needs one more: round up.
  3. Check: one fewer would leave some work uncovered.
worked example

Example: One van can handle at most 40 deliveries a day. How many vans are needed for 130 deliveries a day?

  1. 130 ÷ 40 = 3.25.
  2. 3 vans cover only 120 deliveries, so round up to 4.

Answer: 4

watch out for

practice

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Split a mixed cost

worked example

A forklift rental costs $550 per month plus $34 per hour of use. Last month the forklift was used for 20 hours. How much of last month's bill was fixed?

Answer: $550.00

  1. The fixed part is the $550 monthly fee; the $34 × 20 = $680 is the variable part.

Classify the cost

worked example

A florist's delivery contract costs $150 a month plus $3 per stop. How does this cost behave as activity changes over the next few months?

  1. Variable
  2. Step
  3. Fixed
  4. Mixed

Answer: Mixed

  1. A monthly fee plus a per-stop part makes it mixed.
  2. Fixed stays flat, variable moves with every unit, mixed is a base plus a per-unit part, and step jumps in chunks when capacity runs out.

Step costs: how many do you need?

worked example

One van can handle at most 15 deliveries a day. How many vans are needed for 178 deliveries a day?

Answer: 12

  1. Divide and round up: 178 ÷ 15 ≈ 11.87, so 12.
  2. 11 vans would leave 13 deliveries uncovered. You can't lease part of a van, so this cost jumps in steps.

Total cost at a volume

worked example

A print shop has fixed costs of $9,300 a month and variable cost of $3 per order. What is total cost for a month with 1,270 orders?

Answer: $13,110.00

  1. Total = fixed + rate × volume = $9,300 + $3 × 1,270 = $9,300 + $3,810 = $13,110.

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