The number of mosquitoes, M(x) in millions of Dhaka city depends on rainy seasons' rainfall, x, in inches approximately as: M(x) = 12x - x². What would be the maximum of mosquitoes in Dhaka city?

The number of mosquitoes, M(x) in millions of Dhaka city depends on rainy seasons' rainfall, x, in inches approximately as: M(x) = 12x - x². What would be the maximum of mosquitoes in Dhaka city?

A 6

B 36

C 12 - 2x

D 12

Solution

Correct Answer: Option A

এখানে, M(x) = 12x - x²

বা, dM/dx = 12 - 2x [x এর সাপেক্ষে ডিফারেন্সিয়েশন]

এখানে, dM/dx = 0 এর জন্য x এর মান সর্বোচ্চ হবে।

∴ 12 - 2x = 0

বা, 12 = 2x

বা, 2x = 12

বা, x = 6