CA Foundation · Quantitative Aptitude · Linear Inequalities
The graph of the inequality 4x + 5y ≤ 20 is drawn with x ≥ 0 and y ≥ 0. What is the area of the feasible region?
The area is 10 square units. The boundary line cuts the axes at x = 5 and y = 4, forming a right triangle with the origin, so the area is half of 5 times 4, which equals 10.
- A10 square unitsCorrect
- B20 square units
- C40 square units
- D5 square units
Explanation
The line 4x + 5y = 20 meets the axes at (5, 0) and (0, 4). The feasible region is the triangle with these intercepts and the origin. Area = ½ × 5 × 4 = 10 square units. The value 20 comes from forgetting the factor ½.
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