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Consider the following. optimize f(x, y) = 4x2 + 3y2 − 25.4x − 11.9y + 73.3...

Consider the following.
optimize f(x, y) = 4x2 + 3y2 − 25.4x − 11.9y + 73.3
subject to g(x, y) = 3x + y = 7

(a) Write the Lagrange system of partial derivative equations. (Enter your answers as a comma-separated list of equations. Use λ to represent the Lagrange multiplier.)

  

(b) Locate the optimal point of the constrained system. (Round all values to three decimal places.)
(x, y, f(x, y)) =
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