CASE STUDY CHALLENGE

LPP: Feasible Region Analysis

The feasible region for an LPP is shown in the graph given below. The region is bounded by the lines formed by points on the axes.

LPP Feasible Region Graph

Key Coordinates from Graph:

  • • A(0, 12), B(6, 0)
  • • C(0, 6), D(12, 0)
  • • E(0, 4), F(5, 0)
  • • X is the intersection point.

Answer the following:

(i) Determine the equation of the line CD. [1]
(ii) Determine the equation of the line EF. [1]
(iii)

(a) Determine all the constraints for the LPP.

— OR —

(b) Find the maximum value of the objective function \( Z = 600x + 400y \).

 [2]
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