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FORMULA SHELF 8 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

Quick calculators. A calculator appears where the formula is a single, clean equation with clear symbols. It is a convenience, not an authority: double-check every result yourself, especially doses, loads, torque and safety-critical settings.
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Money 8 formulas

Break-even point MOST USED
break-even units = fixed costs / (price per unit - variable cost per unit)
SYMBOLS · fixed costs = costs you pay anyway (rent, insurance, depreciation); variable cost = cost per unit sold
UNITS · units
HOW TO USE

Before you buy pigs, take on a shed, or start selling eggs. If the margin per unit is negative, the answer is no, however many units you sell.

EXAMPLE

Fixed costs 2,400 a year, eggs at 40p with 20p of cost: 2,400 / 0.20 = 12,000 eggs a year, or 33 a day.

break-even business costs eggs planning
Gross margin and markup MOST USED
margin % = ((price - cost) / price) x 100 ; markup % = ((price - cost) / cost) x 100
SYMBOLS · price = what you charge; cost = what it cost you
UNITS · %
HOW TO USE

Margin is measured against the selling price, markup against the cost. They are not the same number and confusing them is how people lose money. A 50% markup is a 33% margin.

EXAMPLE

Bought at 2 and sold at 3: a 50% markup, a 33% margin.

QUICK CALCULATOR margin % = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

margin markup price profit
Payback period MOST USED
payback = investment / annual net cash flow
SYMBOLS · investment = the capital cost; net cash flow = what comes back in a year after running costs
UNITS · years
HOW TO USE

How long before the machine pays for itself. A payback under three years is usually good for a working tool.

EXAMPLE

Cost 9,000, nets 1,800 a year: 5 years to pay back.

payback investment machine cashflow
Compound annual growth rate
CAGR % = ((end / start)^(1/years) - 1) x 100
SYMBOLS · end = the value now; start = the value before; years = how long it took
UNITS · %
HOW TO USE

For a flock, a herd, a customer list or a tree that is being improved each year. Shows the real rate behind a rising number.

EXAMPLE

20 sheep to 50 in 5 years: (2.5^(1/5) - 1) = 20.1% a year.

QUICK CALCULATOR CAGR % = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

growth cagr flock herd plan
Cost per hectare or acre
cost per hectare = total cost / hectares
SYMBOLS · total cost = rent, inputs, labour, machinery; hectares = the area worked
UNITS · currency per hectare
HOW TO USE

The only way to compare two crops, or two fields, fairly. Divide the whole year's cost by the area, not just the variable bits.

EXAMPLE

12,000 of costs over 8 hectares = 1,500 a hectare.

QUICK CALCULATOR cost per hectare = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

cost hectare acre crops comparison
Gross margin per hectare
margin per hectare = (yield per hectare x price per unit) - (variable cost per hectare)
SYMBOLS · yield per hectare; price per unit; variable cost per hectare = seed, fertiliser, sprays, variable machinery
UNITS · currency per hectare
HOW TO USE

The number that decides what you plant next year. Always leave the fixed costs out of this figure and add them back at the whole-farm level, or you will chase the wrong crop.

EXAMPLE

6 t/ha at 180 a tonne = 1,080, less 480 of variable cost = 600 a hectare.

gross margin crops yield planning
Price per unit from a bulk load
price per unit = total cost / number of units
SYMBOLS · total cost = what you paid; units = weight, count or volume
UNITS · currency per unit
HOW TO USE

Working out whether a bulk buy of feed, fuel or seed is cheaper than the retail price, including the delivery.

EXAMPLE

600 for 1,500 kg of feed = 40 a 100 kg bag equivalent.

price bulk feed fuel comparison
Return on investment
ROI % = ((gain - cost) / cost) x 100
SYMBOLS · gain = what you got back; cost = what you put in
UNITS · %
HOW TO USE

Compare a new freezer, a new shed or a flock of sheep against what they actually return each year.

EXAMPLE

Cost 4,000, returns 1,600 a year in extra sales: 40% a year.

QUICK CALCULATOR ROI % = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

roi investment profit comparison
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This page is an AI-organised index. The label means the grouping and cross-links were compiled with AI; the information itself comes from the public-domain books, reports and manuals listed below. Open any source to read the local copy or follow the link to the original publication.

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The index is AI-organised; the linked sources are not.
Formulas collected and indexed with AI. The calculators are convenience tools; double-check every result before using it.