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Production Equation
Age 16 to 18
Challenge Level 
Each week a company produces $X$ units and sells $p$ per cent of its stock. How should the company plan its warehouse space? Will the stock fluctuate, or increase or decrease over time, or tend to a limit?
Initially the company has no stock. Show that, over a long period of time, the amount of stock tends to the limit ${100X\over p}$.
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