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n 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:

sc$3\_15.$jpg

The above Sensitivity Report indicates that

Group of answer choices

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.

Exactly three answers are correct.