Use the technique developed in this section to solve the minimization problem. Minimize  C = −2x + y subject to  x  +  2y   ≤   12 3x  +  2y   ≤   24 x ≥ 0, y ≥ 0   The minimum is C =  at  (x, y) =

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Q: minimize: subject to: z = x₁ + 2x₂ x₁ + 3x₂ ≥ 11 2x₁ + x₂ ≥9 with: x₁, x₂ nonnegative

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Q: Which function has a minimum at x = 3? Ax) = (x+3)² ) g(1) = x ~ fix + 9 k(x)=x²-2x-3 j(x)--(x-3)²

A: The given functions are The aim is to find the function which has the minimum value at .

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Q: Find the minimum and maximum values of the function f(x, y, z) = x² + y² + z² subject to the…

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A: 'f' is a function of two variables such that ∇→f(x, y)=3x2-3y, -3x+3y2 f(2, 1)=4