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JAMB Mathematics 2000 Question 20

Question 20

Differentiation

A trader realises 10x − x2 naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

  1. A.4
  2. B.5
  3. C.6
  4. D.7
Show the answer and explanation

Answer: B (5)

Explanation

The profit is greatest where its derivative 10 − 2x is zero, i.e. at x = 5 bags.