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:

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The above Sensitivity Report indicates that

Group of answer choices

Increasing the cost of Component $4$ by $$0\mathrm{.}25$ per unit will have no effect on the optimal solution.

Increasing the cost of Component $4$ by $$0\mathrm{.}25$ per unit will have no effect on the optimal solution value.

Increasing the cost of Component $1$ by $$0\mathrm{.}50$ per unit will have no effect on the optimal solution.

Increasing the cost of Component $1$ to $$0\mathrm{.}50$ per unit will have no effect on the optimal solution value.

Exactly two answers are correct.

Exactly three answers are correct.