Refer to the LP problem in Question $27.$

Suppose the profit from $x,$ the regular mix, has gone up to $70$ per pound, while the profit from $Y,$ the Deluxe mix has

gone down to $28$ per pound.

Given these values for the coefficients of the objective function, which of the following statements is true?

The given linear programming problem with the profit values of $70$ and $28$ has several alternative or multiple

optimal solutions.

The given linear programming problem with the profit values of $70$ and $28$ has only one optimal solution.

The given linear programming problem with the profit values of $70$ and $28$ has exactly two optimal solutions.

The given linear programming problem with the profit values of $70$ and $28$ has an unbounded solution.