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

The above Sensitivity Report indicates that

The optimal total cost value remains the same for Component $3$ costs ranging between $$0\mathrm{.}15$ and $$0\mathrm{.}19$

The optimal solution remains the same for Component $5$ costs ranging between $$0\mathrm{.}18$ and $$0\mathrm{.}25$

The total cost will increase by $$0\mathrm{.}13$ for a $5$ unit increase in the quantity of Nutrient $C$ required.

The total cost will not change for a $5$ unit decrease in the quantity of Nutrient $B$ required.

Exactly two answers are correct.