UP TGT Mathematics Calculus Differentiation Test Series - Part 3

If the sum of two positive numbers is 20, their product is maximum when the numbers are:

Type: MCQ • Marks: 1
If the sum of two positive numbers is 20, their product is maximum when the numbers are:
Options
A. 12 and 8
B. 10 and 10
C. 15 and 5
D. 14 and 6
Explanation
Let numbers be x and 20-x. Product P = x(20-x) = 20x - x². P' = 20 - 2x = 0 => x = 10, 10.
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