This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The system of inequalities for Q2 shown in your work is correct. Q2: System of Inequality The system of inequalities is: 0.25x + 0.60y 75 0.60x + 0.20y 90 x 0 y 0 Q3: Would it be legal for the factory to produce 100 barrels of A and 80 barrels of B per day? Step 1: Substitute x = 100 and y = 80 into the CO emission inequality. 0.25(100) + 0.60(80) 75 25 + 48 75 73 75 This condition is satisfied. Step 2: Substitute x = 100 and y = 80 into the SO₂ emission inequality. 0.60(100) + 0.20(80) 90 60 + 16 90 76 90 This condition is also satisfied. Since both emission limits are met, it would be legal. The answer is: Yes, it would be legal. Q4: Would it be legal for the factory to produce 60 barrels of A and 160 barrels of B per day? Step 1: Substitute x = 60 and y = 160 into the CO emission inequality. 0.25(60) + 0.60(160) 75 15 + 96 75 111 75 This condition is not satisfied, as 111 is greater than 75. Step 2: Substitute x = 60 and y = 160 into the SO₂ emission inequality. 0.60(60) + 0.20(160) 90 36 + 32 90 68 90 This condition is satisfied. Since the CO emission limit is exceeded, it would not be legal. The answer is: No, it would not be legal. That's 2 down. 3 left today — send the next one.