Question: Sometimes, the constraints in optimization problems look like sub(a,1)sub(x,1)+...+sub(a,n)sub(x,n)c, assuming n decision variables. To clarify, suppose that the sub(x,i)s represent dollars, and for some reason,
Sometimes, the constraints in optimization problems look like sub(a,1)sub(x,1)+...+sub(a,n)sub(x,n)c, assuming n decision variables. To clarify, suppose that the sub(x,i)s represent dollars, and for some reason, they seem to work better with thousands of dollars. Let the sub(y,i)s be the new variables representing thousands of dollars. How should the constraint above be restated? under()sub(a,i)sub(y,i)=1000c sub(a,1)sub(y,1)+...+sub(a,n)sub(y,n)=frac(c,1000) frac(sub(a,1),1000)sub(y,1)+...frac(sub(a,n),1000)sub(y,n)=c sub(a,1)sub(y,1)+...+sub(a,n)sub(y,n)=1000c
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