301 eggs.

Xpress-Mosel Model

model 'eggs'

! Description  : Egg basket puzzle
! Source       : Boris Kordemsky - The Moscow Puzzles (P136)
! Date written : MAGIC 16/12/92, Xpress-MP 5/4/98, Mosel 16/4/03
! Written by   : M J Chlond

  uses 'mmxprs'

  declarations
    x: array(1..6) of mpvar
    n: mpvar
  end-declarations

  minnum:= n 

  cona:= n = 2*x(1)+1
  conb:= n = 3*x(2)+1 
  conc:= n = 4*x(3)+1 
  cond:= n = 5*x(4)+1 
  cone:= n = 6*x(5)+1 
  conf:= n = 7*x(6) 

  forall(i in 1..6)
    x(i) is_integer

  n is_integer
  
  minimise(n)
  
  write(getsol(n))

end-model