Question: please solve by optimization in operation research Ronnie Runner distilleries blends i=1,c,mscotch whiskeys to create its j=1,c,n products with properties k=1,c,p. Unblended whiskey i measures
please solve by optimization in operation research
Ronnie Runner distilleries blends i=1,c,mscotch whiskeys to create its j=1,c,n products with properties k=1,c,p. Unblended whiskey i measures ai,k on scale k. Express each of the fol-lowing as linear constraint(s) in these parameters and the nonnegative decision variables xi,j!bar-rels of whiskey i used in product j. Assume that the properties combine in proportion to volume andthat the total production of any blend is free to vary with the optimization.
(a)Property k=11 should fall between 45 and 48 in all products.
(b)Product j=14 must have all properties k=5,c,9 between 90 and 95.
(c)Product j=26 must measure at least 116 on property k=15.
(d)No product should measure more than 87 on property k=8
.(e)Products 6 through 11 should combine input whiskey 1 with others in at most the ratio 3:7
.(f)Input whiskeys 4 and 7 should be in ratio 2:3 for all blends.
g)At least one-third of all output must come from inputs i=3,c,6
.(h)No more than 5% of all output can come from input i=13.
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