Question 3
(CAN) Find the minimum value of
$$\max(a+b+c,b+c+d,c+d+e,d+e+f,e+f+g)$$
subject to the constraints
(i) $a,b,c,d,e,f,g\ge0$,
(ii) $a+b+c+d+e+f+g=1$.
$$\max(a+b+c,b+c+d,c+d+e,d+e+f,e+f+g)$$
subject to the constraints
(i) $a,b,c,d,e,f,g\ge0$,
(ii) $a+b+c+d+e+f+g=1$.