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If the number of available constraints is 3 and the number of parameters to be optimized is 4, then
- a)The objective function can be optimized
- b)The constraint are short in number
- c)The solution is problem oriented
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the number of available constraints is 3 and the number of paramete...
Explanation:
When the number of available constraints is less than the number of parameters to be optimized, there can be multiple solutions to the problem. In this case, the objective function can be optimized, but the constraints are short in number.
Reasoning:
When the number of available constraints is less than the number of parameters to be optimized, the system becomes underdetermined, and there can be multiple solutions to the problem. The objective function can still be optimized, but the constraints are short in number.
Example:
Consider the following optimization problem:
Maximize f(x,y,z,w) = x + y + z + w
Subject to:
2x + y + z <=>
x + 3y + w <=>
x, y, z, w >= 0
In this problem, there are four parameters to be optimized (x, y, z, w) and only two constraints. The system is underdetermined, and there can be multiple solutions to the problem. The objective function can still be optimized, but the constraints are short in number.
Conclusion:
When the number of available constraints is less than the number of parameters to be optimized, the system becomes underdetermined, and there can be multiple solutions to the problem. In this case, the objective function can still be optimized, but the constraints are short in number.
When the number of available constraints is less than the number of parameters to be optimized, there can be multiple solutions to the problem. In this case, the objective function can be optimized, but the constraints are short in number.
Reasoning:
When the number of available constraints is less than the number of parameters to be optimized, the system becomes underdetermined, and there can be multiple solutions to the problem. The objective function can still be optimized, but the constraints are short in number.
Example:
Consider the following optimization problem:
Maximize f(x,y,z,w) = x + y + z + w
Subject to:
2x + y + z <=>
x + 3y + w <=>
x, y, z, w >= 0
In this problem, there are four parameters to be optimized (x, y, z, w) and only two constraints. The system is underdetermined, and there can be multiple solutions to the problem. The objective function can still be optimized, but the constraints are short in number.
Conclusion:
When the number of available constraints is less than the number of parameters to be optimized, the system becomes underdetermined, and there can be multiple solutions to the problem. In this case, the objective function can still be optimized, but the constraints are short in number.
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Community Answer
If the number of available constraints is 3 and the number of paramete...
The constraint are short in number.
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If the number of available constraints is 3 and the number of parameters to be optimized is 4, thena)The objective function can be optimizedb)The constraint are short in numberc)The solution is problem orientedd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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