Consider the Linear Programming problem:

Maximize: 7X1 + 6X2 + 4X3

subject to:

X1 + X2 + X3 ≤ 5;

2X1 + X2 + 3X≤ 10,

X1, X2, X3 ≥ 0 (Solve by algebraic method).

The number of basic solutions is:

1
10
2
7
3
9
4
8

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