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Combine these constraints into a single graph to show the

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Reference no: EM13585707

Question 1: For each of the following constraints, draw a separate graph to show the non-negative solutions that satisfy this constraint.

1. x1 + 3x2 ≤ 6

2. 4x1 + 3x2 ≤ 12

3. 4x1 + x2 ≤ 8

4. Combine these constraints into a single graph to show the feasible region for the entire set of functional constraints plus non-negativity constraints.

Question 2: Given the following objective function for a linear programming model

maxZ = 2x1 + 3x2

1. Draw a graph that shows the corresponding objective function lines for Z = 6, Z = 12, and Z = 18.

2. Find the slope-intercept form of the equation for each of these three objective functions lines. Use a table to compare the slopes and the intercepts for these three lines e.g., Slope-intercept form Slope Intercept

  • Z = 6
  • Z = 12
  • Z = 18

Reference no: EM13585707

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