In a diet problem one seeks to minimize the cost of meeting dietary requirements for four nutrients, A$,$ B$,$ C$,$ and D$.$ There are five possible food components, numbered $1$ through $5$ that are used to achieve this goal. The problem has been modeled and optimized. The sensitivity report is shown below:

$\backslash$table$[[,$Final,Reduced,Objective,Allowable,Allowable$],[$Name$,$Value,Cost,Coefficient,Increase,Decrease$],[$Component $1,0,0\mathrm{.}02,0\mathrm{.}21,1E+30,0\mathrm{.}02],[$Component $2,10,0,0\mathrm{.}19,0\mathrm{.}02,0\mathrm{.}06],[$Component $3,14,0,0\mathrm{.}18,0\mathrm{.}01,-\mathrm{.}7325],[$Component $4,2,0,0\mathrm{.}23,0\mathrm{.}26,0\mathrm{.}06],[$Component $5,0,0\mathrm{.}01,0\mathrm{.}19,1E+30,0\mathrm{.}01]]$

$\backslash$table$[[,$Final,Shadow,Constraint,Allowable,Allowable$],[$Name$,$Value,Price,R$.$H$.$ Side,Increase,Decrease$],[$A Quantity in Blend,$30,0\mathrm{.}03,30,14,4],[$B Quantity in Blend,$60,0,50,10,1E+30$