ECZ 2016 · O-Level Paper 1 — Linear Programming

On the XOY plane, region R is unshaded. Write the four inequalities that define the region R.

Diagram for ECZ 2016 · O-Level Paper 1
  • A. x ≤ 2, y ≤ 3, y ≥ 7, x + y ≥ 12
  • B. x ≥ 2, y ≥ 3, y ≤ 7, x + y ≥ 12
  • C. x ≥ 3, y ≥ 2, y ≤ 7, x + y ≤ 12
  • D. x ≥ 2, y ≥ 3, y ≤ 7, x + y ≤ 12

Verified working — step 1

The four boundaries are: x = 2 with R to its right (x ≥ 2); y = 3 with R above it (y ≥ 3); y = 7 with R below it (y ≤ 7); and the diagonal through (5, 7) and (9, 3), which has gradient −1 and equation x + y = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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