1: Which statement is true?
2: Identify the type of the feasible region given by the set of inequalities
where both x and y are positive.
x
y
3: Consider the given vectors: a(2,0), b(0,2), c(1,1), and d(0,3). Which of the following vectors are linearly independent?
a(2,0)
b(0,2)
c(1,1)
d(0,3)
4: Consider the linear equation
How many basic and non-basic variables are defined by this equation?
5: The objective function for a minimization problem is given by
The hyperplane for the objective function cuts a bounded feasible region in the space (x1,x2,x3). Find the direction vector d, where a finite optimal solution can be reached.
x1
x2
x3
d(2,-5,3)
d(-2,5,-3)
d(2,5,3)
d(-2,-5,-3)
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