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Question

Mathematics Question on Linear Programming Problem and its Mathematical Formulation

Consider the Linear Programming Problem:
Minimize 3x1+4x2 +2x3
subject to
x1+x2+x3≤6
x1+2x2+x3≤10
x1,x2,x3≥0.
Then, the number of basic solutions are

A

7

B

9

C

10

D

8

E

3

Answer

10

Explanation

Solution

The correct option is (C): 10