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Which of the Following Pairs of Values (X, Y) Maximizes $f ( x , y ) = x + 3 y$

Question 84

Multiple Choice

Which of the following pairs of values (x, y) maximizes the function $f ( x , y ) = x + 3 y$ subject to the constraint $x ^ { 2 } + 9 y ^ { 2 } = 72$ assuming x and y are positive?
(I) (-6, -2) $Which of the following pairs of values (x, y) maximizes the function f ( x , y ) = x + 3 y subject to the constraint x ^ { 2 } + 9 y ^ { 2 } = 72 assuming x and y are positive? (I) (-6, -2) (II) \left( 8 , \sqrt { \frac { 8 } { 9 } } \right) III) (2, -6) (IV) (6, 2) A) III only B) I and II C) IV only D) I only E) none of these$
(II) $\left( 8 , \sqrt { \frac { 8 } { 9 } } \right)$ $Which of the following pairs of values (x, y) maximizes the function f ( x , y ) = x + 3 y subject to the constraint x ^ { 2 } + 9 y ^ { 2 } = 72 assuming x and y are positive? (I) (-6, -2) (II) \left( 8 , \sqrt { \frac { 8 } { 9 } } \right) III) (2, -6) (IV) (6, 2) A) III only B) I and II C) IV only D) I only E) none of these$
III) (2, -6) $Which of the following pairs of values (x, y) maximizes the function f ( x , y ) = x + 3 y subject to the constraint x ^ { 2 } + 9 y ^ { 2 } = 72 assuming x and y are positive? (I) (-6, -2) (II) \left( 8 , \sqrt { \frac { 8 } { 9 } } \right) III) (2, -6) (IV) (6, 2) A) III only B) I and II C) IV only D) I only E) none of these$
(IV) (6, 2)

A) III only
B) I and II
C) IV only
D) I only
E) none of these

Which of the Following Pairs of Values (X, Y) Maximizes f(x,y)=x+3yf ( x , y ) = x + 3 yf(x,y)=x+3y

Multiple Choice

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Which of the Following Pairs of Values (X, Y) Maximizes $f ( x , y ) = x + 3 y$

Correct Answer:
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