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Stanley Romero

How do simultaneous changes in the constraints affect the interpretation of shadow prices?

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BARCE, CHERYL ANN A.
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Simultaneous changes in constraints can affect the interpretation of shadow prices because the shadow price only shows the effect of changing one constraint at a time, while keeping the others constant. When several constraints change at the same time, their combined effects may change the optimal solution and total cost or profit. Therefore, shadow prices should be interpreted carefully, and the model may need to be solved again to determine the new optimal result.

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Sheena Mae
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Simultaneous changes in constraints can affect the interpretation of shadow prices because the values are valid only within their allowable ranges. If multiple constraints change at the same time, the shadow prices may no longer accurately predict the change in the objective value.

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Janna Nicole Lagmay
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Simultaneous changes can make shadow prices unreliable if the changes go beyond their allowable ranges. If they stay within the ranges, the shadow prices can still estimate the change in the objective value.

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Matthew Salonga
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Simultaneous changes in constraints can affect the shadow prices because changing several constraints at the same time may change the current optimal solution. Therefore, shadow prices should be interpreted carefully and only within their allowable ranges.

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Dennis Marco Cortez
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Simultaneous changes in constraints keep original shadow prices valid only if the combined changes do not shift the optimal corner point (basis) of your feasible region. To verify this without re-solving the entire linear programming model, apply the 100% Rule: convert each resource change into a percentage of its maximum allowable increase or decrease, and if the total sum of these percentages across all changed constraints stays at or below 100%, you can safely add up the individual shadow price impacts to find the exact new total profit or cost.

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