Question

Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above

Answer 1

Follows are the solution to this question:

Explanation:

In this question, some of the data is missing, that's why this question can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

`Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0`

When there are Several perfect solutions then the equation is:

`Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0`

When there is also no solution, since it is unlikely then the equation is:

`Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0`

When there is no best solution since it is unbounded then the equation is:

`Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\`