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,,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 $3,14,0,0\mathrm{.}18,0\mathrm{.}01,0\mathrm{.}0325],[$Component $4,2,0,0\mathrm{.}23,0\mathrm{.}26,0\mathrm{.}06],[$Component $5,0,0\mathrm{.}01,0\mathrm{.}19,1E+30,0\mathrm{.}01]]$

The above Sensitivity Report indicates that

An increase in the requirement of Nutrient B by $6$ units will have no effect on the current optimal solution or solution value.

A decrease in the requirement of Nutrient B by $11$ units will change both the current optimal solution and solution value.

An increase in the requirement of Nutrient A by $5$ units will increase total cost by $$0\mathrm{.}15.$

A decrease in the requirement of Nutrient $A$ by $5$ units will decrease the total solution cost by $$0\mathrm{.}15.$