How to define a JuMP variable in a specific discrete set?

Specific Domains Optimization (Mathematical)
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2

You cannot do this directly. You need to reformulate the problem.

model = Model()
S = [2, 5, 6, 8, 10]
@variable(model, x, Int)
@variable(model, z[1:length(S)], Bin)
@constraint(model, sum(z) == 1)
@constraint(model, x == sum(S[i] * z[i] for i = 1:length(S))
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