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In a maximization problem, if the amount of a resource for a non-binding constraint is increased, but the amount of the increase is within the Range of Feasibility, then:

a. The objective function value will increase.
b. The objective function value will decrease.
c. The objective function value will remain unchanged.
d. The solution will become infeasible.

User Tomarto
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1 Answer

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Final answer:

In a maximization problem, if the resource amount for a non-binding constraint within the Range of Feasibility is increased, the objective function value will remain unchanged because the constraint does not limit the current solution.

Step-by-step explanation:

In the context of a maximization problem involving linear programming, if the amount of a resource for a non-binding constraint is increased within the Range of Feasibility, this means the constraint does not affect the current solution. Since the constraint is not limiting the solution, changing the amount of the resource within this range will not affect the objective function value. Hence, the correct answer is:

c. The objective function value will remain unchanged.

Non-binding constraints indicate slack in the system, allowing changes within certain limits without impacting the current optimal solution. This concept is related to economic efficiency, which seeks to attain the most benefit from scarce resources. Production decisions reflecting productive efficiency and allocative efficiency are made within such constraints to optimize outcomes.

User Tania Ang
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