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Solve, by simplex method, the following linear programming problem:
MinimizeZ= x1-3x2+2x3

subject to:
3x1-x2+2x3 =< 7
-2x1-4x2 =< 12
-4x1+3x2+8x3 =<10
x1, x2, x3>=0
True or False. Give Reason

In the inventory model with finite replenishment rate, if the replenishment rate is equal to
consumption rate, the holding cost is 0.
True or false. give reason

For a queuing model (M/M/1): (GD/∞/∞) if the service rate μ increases, the expected
number of customers in the system decreases.
True or False. Give Reason

For each cell (i, j) in an optimal solution to a transportation problem the value
(ui+vj-cij)xij=0
true or false. give reason

The assignment problem can be solved using simplex method.
True or false. give reason

The optimal values of the objectives functions of the primal and dual problems are not same.
The assignment problem can be solved using simplex method.
True or False. Give Reason.

x1=1, x2=2, x3=1 is a basic feasible solution for the system of equations

x1+x2+x3=4
2x1+x2+x3=5
F(x)=0.40e
-0.40x
For x >= 0
1.a-Solve 9x^4-18x^3-31x^2 8x 12=0 by ferrari's method. 2.b-solve the equeation in(a) given that the sum of two of its roots is zero
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