The maximum value of xy subject to x + y = 8, is : | CGP Edu

Physics Vectors Basic Mathematics MCQ (Single Correct)

The maximum value of xy subject to x + y = 8, is :

A

8

B

16

C

20

D

24

Text Solution

Verified by Experts

The correct answer is:

x + y = 8

A = xy

A = x(8 – x)

A = 8x – x2

= 8 – 2x

x = 4

y = 4

A = xy = 16

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