Зад P1.15.61.2020.2.1   Реалните броеви a, b, c, d се такви што a ≥ b ≥ c ≥ d > 0 и a + b + c + d = 1. Докажете
дека

(a + 2b + 3c + 4d) a^a b^b c^c d^d < 1.

Prob P1.15.61.2020.2.1   The real numbers a, b, c, d are such that a≥ b≥ c≥ d> 0 and  a + b + c + d = 1.
Show that
                         (a+2b+ 3c + 4d) a^a b^bc^cd^d <1.