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Consider the variation of the Wyndor Glass Co problem represented

Consider the variation of the Wyndor Glass Co. problem represented in Fig. 13.6, where the original objective function (see Sec. 3.1) has been replaced by Z = 126x1 – 9x12 + 182x2 – 13x22. Demonstrate that (x1, x2) = (8/3, 5) with Z = 857 is indeed optimal by showing that the ellipse 857 = 126x1 – 9x12 + 182x2 – 13x22 is tangent to the constraint boundary 3x1 + 2x2 = 18 at (8/3, 5).

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