The Steam Engine and the Factory's Location
It is 1800 in Lancashire. An investor, Mr. Ashworth, holds 5,000 pounds and must site a cotton-spinning mill. Option A: build beside a fast-flowing river to power water frames. Land and water rights cost 2,000 pounds; the site is 30 miles from the nearest coalfield and port, adding 400 pounds a year in transport for raw cotton and finished cloth. Option B: build near the coalfield and canal, install a Boulton-and-Watt steam engine. Land and canal access cost 1,500 pounds; the engine and coal cost 1,200 pounds a year to run. Option A has no engine fuel cost. Both mills would produce comparable output. Ashworth expects the mill to operate for at least 15 years, and he worries that river flow varies seasonally while coal supply is reliable.
1. Calculate and compare the 15-year costs of Options A and B, and recommend a site.
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Option A (water):
- One-time: 2,000
- Annual transport: 400 × 15 = 6,000
- Fuel: 0
- 15-year total: 8,000 pounds
Option B (steam):
- One-time: 1,500
- Annual engine + coal: 1,200 × 15 = 18,000
- 15-year total: 19,500 pounds
On raw cost, Option A is far cheaper - 8,000 versus 19,500.
But the exam wants more than arithmetic. The numbers must be weighed against reliability: river flow varies seasonally, so A's output is uncertain, while B runs year-round on reliable coal. If A loses even a fraction of production to seasonal stoppage, its cost advantage narrows. The disciplined recommendation: A is cheaper on paper and likely preferable if the river's flow is dependable; B's premium buys reliability and proximity to inputs. State the assumption explicitly - that is the judgment.
2. Suppose Ashworth learns that a rival is about to build a steam mill on the same canal, and that canal tolls will rise 50% for all users. How does this change the comparison, and what does it reveal about industrialization's geography?
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Recompute B's transport exposure. The setup gave B no separate transport line (it sits at the port/coalfield), so a canal-toll rise hits A's 400/year transport if A also relies on the canal - but A is river-powered and 30 miles from the port, so its 400/year transport likely uses roads and canal. If the 400 includes canal tolls and those rise 50%, A's annual transport could rise toward 600, adding up to 3,000 over 15 years (A total up to ~11,000). B's inputs are local, so its exposure is smaller.
More important is the competitive signal: a rival steam mill on the canal means B's location is becoming the industry's center of gravity. Being near the rival and the coal/canal gives access to labor, suppliers, and customers - agglomeration effects the raw cost table ignores.
The reveal: industrialization clustered where coal, water, and transport intersected. The steam engine freed mills from rivers, and once freed, they congregated at coalfields and canals. Ashworth's decision is not just cost-minimization but positioning within an emerging industrial geography. The exam rewards seeing that falling transport and power constraints reshaped where production located.