Analysing Operational Performance: Unit Cost and Capacity
Analysing operational performance means using quantitative measures to judge how efficiently a business converts resources into output. Unit cost (average cost per unit) is calculated as total cost divided by output, and falling unit cost, other things being equal, tends to raise profit margin or allow a lower selling price to compete on cost. Capacity is the maximum output a business can produce in a period with its current resources, and capacity utilisation, calculated as actual output divided by maximum possible output, multiplied by 100, measures how much of that capacity is actually being used. Low capacity utilisation means fixed costs, such as rent and machinery, are spread over fewer units, raising unit cost, while very high utilisation, close to 100%, can raise unit cost too if it requires overtime pay or causes machine breakdowns, and leaves little spare capacity to respond to an unexpected rise in demand.
Before you start
Make sure you're comfortable with these topics first:
Method
- Learn the exact formulas: unit cost = total cost / output; capacity utilisation (%) = (actual output / maximum possible output) x 100.
- Understand why unit cost usually falls as output rises towards full capacity: fixed costs stay the same in total but are spread over more units, so the fixed cost per unit falls, even though variable cost per unit may stay roughly constant.
- Understand the risk at both ends of the capacity utilisation scale: low utilisation wastes fixed capacity and raises unit cost, while utilisation very close to 100% risks overtime costs, machine strain and an inability to meet a sudden rise in demand.
- When a case gives total cost and output for two periods, or two rival businesses, calculate unit cost for each and compare them directly, since the size of the difference, not just its direction, supports a stronger analytical point.
- Link a change in unit cost or capacity utilisation to a plausible operational cause named in the case, e.g. a new machine raising maximum capacity, or falling demand lowering actual output and utilisation.
- For an evaluate question, weigh the cost benefit of raising utilisation (lower unit cost) against the practical risk of operating close to full capacity, using any evidence in the case about demand reliability, staff capacity, or equipment condition.
Worked example
A factory has a maximum capacity of 25,000 units a month. Last month it produced 15,000 units at a total cost of 180,000 pounds. This month, after winning a new contract, it produced 22,000 units at a total cost of 231,000 pounds. Calculate the unit cost and capacity utilisation for each month, and comment on the change.
- Calculate last month's unit cost: total cost / output = 180,000 / 15,000 = 12 pounds per unit.
- Calculate last month's capacity utilisation: (actual output / maximum capacity) x 100 = (15,000 / 25,000) x 100 = 60%.
- Calculate this month's unit cost: 231,000 / 22,000 = 10.50 pounds per unit.
- Calculate this month's capacity utilisation: (22,000 / 25,000) x 100 = 88%.
- Interpret the change: capacity utilisation rose from 60% to 88%, and unit cost fell from 12 pounds to 10.50 pounds, a fall of 1.50 pounds per unit, most likely because the factory's fixed costs are now being spread over a much larger number of units.
- Conclude: the improvement in unit cost is a direct financial benefit of the new contract, but at 88% utilisation the factory now has little spare capacity left, so a further rise in orders could require overtime, extra shifts, or investment in additional capacity.
Practice questions
Try each question, then tap to reveal the answer.
Q1State the formula for unit cost.Show answer
Answer: Total cost divided by output.
Q2State the formula for capacity utilisation.Show answer
Answer: (Actual output / maximum possible output) x 100.
Q3A business has a maximum capacity of 10,000 units a month and produces 7,500 units. Calculate capacity utilisation.Show answer
Answer: (7,500 / 10,000) x 100 = 75%.
Q4A business produces 4,000 units at a total cost of 52,000 pounds. Calculate the unit cost.Show answer
Answer: 52,000 / 4,000 = 13 pounds per unit.
Q5Explain why low capacity utilisation tends to raise unit cost.Show answer
Answer: Fixed costs stay the same in total regardless of output, so when they are spread over a smaller number of units at low utilisation, the fixed cost included in each unit's cost is higher.
Q6State one risk of operating at very high capacity utilisation, close to 100%.Show answer
Answer: It leaves little or no spare capacity to respond to a sudden rise in demand, and can increase costs from overtime pay or greater wear and machine breakdowns.
Q7A business increases output from 8,000 to 12,000 units, while total cost rises from 96,000 to 132,000 pounds. Calculate the unit cost at each output level.Show answer
Answer: At 8,000 units: 96,000 / 8,000 = 12 pounds per unit. At 12,000 units: 132,000 / 12,000 = 11 pounds per unit.
Q8Give one way a business could increase its maximum capacity.Show answer
Answer: For example, investing in additional machinery or equipment, extending or opening new premises, or increasing the number of shifts it can run.
Exam-style questions
Written in the style of a A Level Business exam paper, with a full mark scheme.
A print shop's maximum capacity is 5,000 print jobs a month. It currently completes 2,000 jobs a month at a total cost of 26,000 pounds. Calculate the shop's current capacity utilisation and unit cost, and analyse the likely effect on unit cost of winning a new contract that would raise output to 4,000 jobs a month, assuming total cost rises to 42,000 pounds.
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Delacroix Bakery Supplies has two production lines. Line A has a maximum capacity of 12,000 loaves a week and currently produces 11,500 loaves a week at a total cost of 17,250 pounds; staff report regular equipment overheating and two breakdowns in the last month. Line B has a maximum capacity of 8,000 loaves a week and currently produces 3,200 loaves a week at a total cost of 8,960 pounds. Management is deciding whether to shift some demand from Line A to the underused Line B. Evaluate whether shifting production from Line A to Line B would improve Delacroix's operational performance.
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