Waec Model Questions Vol1 2019 Geography Question 29
Practice objective / multiple choice question 29 from the 2019 Waec Model Questions Vol1 Geography examination.
A market town wishes to operate a specialised hospital that requires a minimum catch‑area population of 25 000 people to be viable. The town itself has 12 000 inhabitants. The surrounding rural area has a population density that declines with distance r (in kilometres) from the town centre according to D(r) = 200 e^{‑0.05r} persons km⁻². Assuming the density function applies from r = 0 outward and that the town's 12 000 residents are not included in the integral, determine the maximum radius r_max (in km) within which the cumulative surrounding population together with the town's own population reaches the 25 000‑person threshold. State whether the hospital can be sustained.
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About This Question
This is Waec Model Questions Vol1 2019 Geography Question 29. It is one of the objective questions from the 2019 Waec Model Questions Vol1 Geography examination.
Difficulty level: Hard .
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