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The overhead elements of condition costs vary considerably and are largely dependent on the need for hospital services for certain conditions.
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Therefore ((x_{2},y_{2})) is an element of Condition (2), as required.
Hence ((x_{1}, y_{1})) is an element of Condition (1) and Case 2A is complete.
Hence ((x_{1}, y_{1})) is an element of Condition (1) and Case 1 is complete.
An essential element of condition based maintenance is improved decision making.
Next, we will show that ((x_{3}, y_{3})) is an element of Condition (3), that is x_{3} geq vert y_{3}vert + d.
Hence ((x_{1}, y_{1})) is an element of Condition (1) and the proof to Lemma 2 is complete.
end{aligned} Hence ((x_{1},y_{1})) is an element of Condition (1) and Case 2 is complete.
Since (y_{0} leq0) and (b > 0), we see that ((x_{1}, y_{1})) is an element of Condition (1) and the proof of Lemma 4 is complete.
Then biglvert x_{2} - vert y_{2}vert -dbigrvert leq vert x_{2}vert - y_{2} + b - d. Therefore ((x_{3},y_{3})) is an element of Condition (3), as required.
Next, we will show that ((x_{4}, y_{4})) is an element of Condition (4), that is x_{4} geq0, qquad y_{4} geq0quad text{and} quad x_{4} geq vert y_{4}vert + d.
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