Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m^2 of surface area, and 70 m of edge length (sum of all edges)

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Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

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Q: 4. Minimize: Z = 3X₁ +5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X +3X - 90

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Q: A closed rectangular box witha volume of 81lft' is made from two kinds of materials. The top and…

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