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Reword the following answer: The 100% Rule in linear programming is used to determine the allowable increase or decrease in the right-hand side (R.H. Side)
Reword the following answer: The 100% Rule in linear programming is used to determine the allowable increase or decrease in the right-hand side (R.H. Side) of a constraint without changing the optimal solution. The rule states that the sum of the percentage changes in any constraint should not exceed 100%. Let's calculate the percentage changes for each option: 1. Decrease electronics to 4,500 and increase assembly to 3,000 - Decrease in electronics: (4800 - 4500) / 4800 = 6.25% - Increase in assembly: (3000 - 2600) / 2600 = 15.38% - Total percentage change: 6.25% + 15.38% = 21.63% < 100% 2. Decrease electronics to 3,800 and increase assembly to 3,500 - Decrease in electronics: (4800 - 3800) / 4800 = 20.83% - Increase in assembly: (3500 - 2600) / 2600 = 34.62% - Total percentage change: 20.83% + 34.62% = 55.45% < 100% 3. Increase electronics to 6,300 and increase assembly to 2,700 - Increase in electronics: (6300 - 4800) / 4800 = 31.25% - Increase in assembly: (2700 - 2600) / 2600 = 3.85% - Total percentage change: 31.25% + 3.85% = 35.1% < 100% 4. Decrease electronics to 4,500 and increase assembly to 3,700 - Decrease in electronics: (4800 - 4500) / 4800 = 6.25% - Increase in assembly: (3700 - 2600) / 2600 = 42.31% - Total percentage change: 6.25% + 42.31% = 48.56% < 100% All options pass the 100% Rule as the total percentage change in each case is less than 100%
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