The choice of developing the Underwood equations in terms of \(\mathrm{V}_{\text {min }}\) instead of solving for \(\mathrm{L}_{\min }\) is arbitrary. Rederive the Underwood equations solving for \(\mathrm{L}_{\text {min }}\) and \(\mathrm{L}-_{\text {min }}\). Develop the equations analogous to Eqs. (7-25a) and (7-28).

Equation (7-25a) and (7-28)

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V min - = c-ref (DXD,i) i-ref- i=1 and -V min - ci-ref (BXB.i) = Zi-1 j-ref-0