Determine whether S = { (1,0,0) , (1,1,0) , (1,1,1) } Is a basis
for R^3 and write (8,3,8) as a linear combination of vector in
S.
Please explain in details how to solve this problem.
For the following LP problem, determine the optimal solution by
the graphical solution method.
Min Z= 3x1+2x2
Subject to 2x1+x2 >10
-3x1+2x2
< 6
X1+x2
> 6
X1,x1
> 0
Graph and shade the feasible region
For the following linear programming problem, determine the optimal
solution by the graphical solution method
Max
-x + 2y
s.t.
6x - 2y <= 3
-2x + 3y <= 6
x + y <= 3
x, y
>= 0
Solve the LP problem. If no optimal solution exists, indicate
whether the feasible region is empty or the objective function is
unbounded. HINT [See Example 1.] (Enter EMPTY if the region is
empty. Enter UNBOUNDED if the function is unbounded.)
Minimize c = 0.2x + 0.3y subject to
0.2x
+
0.1y
≥
1
0.15x
+
0.3y
≥
1.5
10x
+
10y
≥
80
x ≥ 0, y ≥ 0.
c
=
(x,
y) =
Use the simplex method to determine whether the following LOP is
optimal, unbounded, or infeasible.
Maximize z = x1 − x2
Subject to 2x1 − x2 = −5
x1 − 2x2 ≤ 3
−x1 + x2 ≤ −1
and x1 ≥ 0.
Optimizing Performance: Finally, you will determine an optimal
solution that will maximize the organization’s objectives. You will
need to consider the level of sensitivity and uncertainty of
alternative solutions in supporting your optimal solution. The
analyses need to be submitted in an annotated excel file and
include a rationale. A. Determine the values of the constraints to
be used to generate the target number when running Solver.
[QSO-320-03] B. Using Solver, calculate the level of sensitivity of
decision variables and...
Determine whether the equation is exact. If it is exact, FIND
THE SOLUTION. If not write NOT EXACT.
A) (y/x + 12x) + (lnx - 3)y' = 0 x>0
Solve the given initial value problem.
B) (12x2 +
y − 1) − (14y −
x)y' =
0, y(1) = 0
y(x) =
Determine at least approximately where the solution is valid.
(Enter your answer as an inequality for which the solution is valid
when true.)
The solution is valid as long as:...
Determine whether the relations described by the conditions
below are reflexive, symmetric, antisymmetric or transitive on a
set A = {1, 2, 3, 4}
All ordered pairs of (x, y) such that
x not Equal
y.
All ordered pairs of (x, y) such that
y > 2.
All ordered pairs of (x, y) such that
x = y ± 1.
All ordered pairs of (x, y) such that
x = y2.
All ordered pairs of (x, y) such that
x...