6.11 A retrofit HVAC project includes installing rectangular air ducts in braced floor joists. The dimensions of

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6.11 A retrofit HVAC project includes installing rectangular air ducts in braced floor joists. The dimensions of the joist and bracing are shown in Figure P6.11.

Using the Method of Lagrange Multipliers, determine the optimal values of h and w that maximize the cross-sectional area of the duct.

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