How many solutions are there to x1 + x2 + x3 + x4 75 where...

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How many solutions are there to x1 + x2 + x3 + x4 ≤ 75 where xi ≥ 0 for all i, 1 ≤ i ≤ 4? Idea: Introduce a new variable x5 to count all the unused 75 items. This is sometimes called a slack variable. How many solutions are there to x1 + x2 + x3 + x4 ≤ 75 where xi ≥ 0 for all i, 1 ≤ i ≤ 4? Idea: Introduce a new variable x5 to count all the unused 75 items. This is sometimes called a slack variable.

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Introducing a slack variable x5 to count the unused items we can rewrite the inequality as follows x... View the full answer