Find the minimum value of the expression below, for real a,b,c,d,e>0
ab+c+d+e+ba+c+d+e+ca+b+d+e+da+b+c+e+ea+b+c+d
Bonus: For real x1,x2,x3,x4,⋯,xn>0, let x1+x2+x3+x4+⋯+xn=S. Find the minimum value of x1S−x1+x2S−x2+x3S−x3+⋯+xnS−xn in term of n.
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