In the graphical solution to a linear program, the region that satisfies the constraint 4X + 15Z ≤ 1000 includes the origin of the graph.

Name: In the graphical solution to a linear program, the region that satisfies the constraint 4X + 15Z ≤ 1000 includes the origin of the graph.
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If we substitute x = 0 and z = 0 in the inequality, we get 4(0) + 15(0) ≤ 1000, which simplifies to 0 ≤ 1000. Since 0 is less than or equal to 1000, the origin is included in the region that satisfies the constraint.

In the Graphical Solution to a Linear Program, the Region