Find max value of xy subject to x+y=8
Answers
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For the value of xy to be maximum,
Since xy has 2 variables we cannot differentiate it
It is given that,
x + y = 8
y = 8 - x
Substituting this in the equation,
Therefore,
x = 4
y = 8 - x = 8 - 4 = 4
Therefore the maximum value of xy = 4*4 = 16
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Answer:
16
Step-by-step explanation:
- if x=8 then y=0
or
y=8 then x=0
then xy=0
2. if x=7 then y=1
or
x=1 then y=7
then xy=7
3. if x=6 then y=2
or
x=2 then y=6
then xy =12
4. if x=5 then y=3
or
x=3 then y=5
then xy =15
5. if x=4 then y=4
then xy=16
therefore xy=16