Asked by Jerry
Solve the optimization problem.
Minimize F = x^2 + y^2 with x + 2y = 15.
Thank You for the help!!
Minimize F = x^2 + y^2 with x + 2y = 15.
Thank You for the help!!
Answers
Answered by
Damon
x = 15 - 2y
x^2 = 225 - 60 y + 4 y^2
F = 5 y^2 -60 y + 225
dF/dy = 10 y - 60
zero when y = 6 then x = 3
is that min or max?
d^2F/dy^2 = 10 so it is min
F here = 9+36 = 45
check ends
if x = 0 y = 7.5 and F = 56 1/4
if y = 0, x=15 and F = 225
ok, done
x^2 = 225 - 60 y + 4 y^2
F = 5 y^2 -60 y + 225
dF/dy = 10 y - 60
zero when y = 6 then x = 3
is that min or max?
d^2F/dy^2 = 10 so it is min
F here = 9+36 = 45
check ends
if x = 0 y = 7.5 and F = 56 1/4
if y = 0, x=15 and F = 225
ok, done
Answered by
Jerry
Wow thank you so much!!!!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.