ECZ 2020 · GCE Paper 1 — Linear Programming
In the diagram below, point A is (1, 1), B is (0, 7), C is (14, 0), D is (7, 0) and E is (7, 1). Write down the four inequalities that define the unshaded region R.
- A. y ≥ 1; x > 7; y < x; x + 2y ≤ 14
- B. y ≥ 1; x < 7; y < x; x + 2y ≤ 14
- C. y ≤ 1; x < 7; y < x; x + 2y ≤ 14
- D. y ≥ 1; x < 7; y > x; x + 2y ≤ 14
Verified working — step 1
The four boundaries: y = 1 with R above it (y ≥ 1, solid); x = 7 through D and E, drawn BROKEN so strict, with R to its left (x < 7); y = x through O and A(1,1), drawn BROKEN so strict, with R below it (y < x); and line BC through B(0,7) and C(14,0), i.e. x + 2y = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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