optimization - How to find the dual function when the objective function and constraints are linear? - Mathematics Stack Exchange

When I try to compute the dual function by taking the derivative of the Lagrangian I just find the values of $\lambda_{1} = \frac{2}{3} $ and $\lambda_{2} = \frac{1}{3}$. Can anyone point me in the

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convex optimization - Minimizing a linear function over the probability simplex - Mathematics Stack Exchange

optimization - Can a linear program be optimal if its basis is infeasible? - Mathematics Stack Exchange

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