Find the indicated maxima or minima.
-Minimum of $f(x, y)=x^{2}-14 x+y^{2}-16 y$, subject to $2 x+3 y=12$
A) -61 when $x=3, y=2$
B) -68 when $x=1, y=5$
C) -15 when $x=0, y=1$
D) -24 when $x=2, y=0$

Question

Quizplus · Accepted Answer

Using the method of Lagrange multipliers, we find that the minimum occurs at $x=3, y=2$, and the minimum value is -61.

Find the Indicated Maxima or Minima f(x,y)=x2−14x+y2−16yf(x, y)=x^{2}-14 x+y^{2}-16 yf(x,y)=x2−14x+y2−16y , Subject To

Find the Indicated Maxima or Minima $f(x, y)=x^{2}-14 x+y^{2}-16 y$ , Subject To