Find the solution of the following objective function. Confirm that the optimum satisfies the Kuhn-Tucker conditions and describe whether the constraint is binding: Minimize the cost function C (x , y) = 5x2 – 80x + y2 -32y subject to the constraints x, y > 0 and x + y > 20.

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A: To solve the problem we use the method of Lagrange multiplier.

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A: Given Information:The function is provided as follows:Subject to To find:a) The minimum solutionb)…

Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

A: Answer given below.

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Q: b) By using the laws of set theory, show that [(A U B) n (An C)] u (B n C) = A U B.

A: Here we have to prove left hand side is equivalent to right hand side using laws of set theory

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Q: Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y2-12Y + 53 s.t. X + 4Y ≤…

A: Given Information:The function is provided as follows:Subject to To find:a) The minimum solutionb)…

Q: Consider the nonlinear optimization model stated below. Min. 2x2 18x + 2XY+Y2 16Y + 51 s.t. X + 4Y ≤…

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Q: L.P. Model: Maximize Subject to: Z= 1X + 10Y 4X+3Y $36. 2X+4Y ≤ 40 1Y26 X,Y 20 (C₁) (C₂) (C3) 1.)…

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A: Solution :-

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A: Answer given below.