Lang-Factor Cost Estimate: Worked Example

Expected answer
$1,200,000 total estimated plant cost

Apply a hypothetical custom Lang-style factor to purchased equipment cost. Remove existing example rows and enter exactly the three rows below.

Open calculator

1. Calculator Inputs

Select units before entering values.

Calculator fieldValue / setting
CurrencyUSD
Factor sourceCustom project/company factor
Custom factor4
Plant typeMixed solid-fluid processing
PumpsQuantity 2; unit cost $25000
TankQuantity 1; unit cost $100000
Heat exchangerQuantity 1; unit cost $150000

2. Step-by-step Math

Purchased equipment total

Pumps = 2×25000 = $50000
Tank = 1×100000 = $100000
Heat exchanger = 1×150000 = $150000
Equipment total = $300000

Enter unit costs in the rows; the calculator multiplies by quantity.

Apply the factor

Total estimated plant cost = factor × equipment total
Total = 4×300000 = $1200000

The factor includes purchased equipment cost. Do not add the $300000 a second time.

Implied other cost

Other cost = total−equipment total
Other cost = 1200000−300000 = $900000

This is an aggregate difference, not an itemized installation estimate.

3. Compare Your Answers

Keep full precision until the final result. Display rounding may differ; compare answers rounded to three significant figures; retain unrounded intermediate values.

ResultExpected answerYour answer
Purchased equipmentUSD 300000__________
Factor4.00__________
Total estimated plant costUSD 1200000__________
Implied other costUSD 900000__________

Second check

Set the custom factor to 1. Total cost becomes $300000 and other cost becomes $0. Restore factor 4 to return to $1200000.

4. Assumptions and Method

All prices and the custom factor are hypothetical arithmetic inputs, not current quotations or a recommended estimating factor. Plant type does not change a custom factor. The factor’s project scope, location, date and exclusions must be established separately before using an estimate for a real project.

Equation definitions and implementation: open calculator. See also calculation methodology.