It would depend on the feasible region.
Since there is no feasible region defined, there is no answer possible.
If we knew the values of 'x' and 'y', and the boundaries of the feasible region, we could answer that question quickly and easily.
NO
To find the maximum value of 2x + 5y within the feasible region, you would need to evaluate the objective function at each corner point of the feasible region. The corner points are the vertices of the feasible region where the constraints intersect. Calculate the value of 2x + 5y at each corner point and identify the point where it is maximized. This point will give you the maximum value of 2x + 5y within the feasible region.
definition feasible region definition feasible region
i know that a feasible region, is the region which satisfies all the constraints but i don't know exactly why is the unshaded region regarded as a feasible region instead of the shaded region.
It would depend on the feasible region.
Yes they will. That is how the feasible region is defined.
Since there is no feasible region defined, there is no answer possible.
The answer depends on what the feasible region is and on what operator is between 6x and 8y.
The answer depends on the feasible region and there is no information on which to determine that.
If we knew the values of 'x' and 'y', and the boundaries of the feasible region, we could answer that question quickly and easily.
Yes, in optimization problems, the feasible region must be a convex set to ensure that the objective function has a unique optimal solution. This is because convex sets have certain properties that guarantee the existence of a single optimum within the feasible region.
Given definitions, or descriptions at least, of "point D" and "the feasible region",I might have had a shot at answering this one.
Feasible regions have more corners when there are more constraints that intersect at a single point, creating a corner. If there are more constraints that intersect at different points, the feasible region will have more corners. In general, the number of corners in a feasible region is determined by the number of constraints and how they interact.
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