Question
In: Advanced Math
Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter...
Solve the LP problem. If no optimal solution exists because
there is no Solution Set, enter EMPTY. If no optimal solution
exists because the region is unbounded, enter UNBOUNDED.
Note that an unbounded region can still have an optimal
solution while a bounded region is guaranteed to have optimal
solutions. HINT [See Example 1.]
Maximize and minimize p = x + 2y subject
to
| x | + | y | ≥ | 4 |
| x | + | y | ≤ | 10 |
| x | − | y | ≤ | 4 |
| x | − | y | ≥ |
−4. |
Minimum
P=
(x, y)=
Maximum
P=
(x, y)=
Solutions
Expert Solution
In this problem, we have to find the region each point of which satisfies each of the given constraints. The optimal value of the cost function occurs for the vertices if the region is a convex set.
See in details:
Colby Messinger answered 2 years agoRelated Solutions
Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter...
Solve the LP problem. If no optimal solution exists because
there is no Solution Set, enter EMPTY. If no optimal solution
exists because the region is unbounded, enter UNBOUNDED.
Note that an unbounded region can still have an optimal
solution while a bounded region is guaranteed to have optimal
solutions. HINT [See Example 1.]
Minimize c = 2x − 2y subject to
x
6
≤
y
y
≤
2x
3
x
+
y
≥
10
x
+
2y
≤
35...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
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) =
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate...
Solve the given linear programming problem using the simplex
method. If no optimal solution exists, indicate whether the
feasible region is empty or the objective function is unbounded.
(Enter EMPTY if the feasible region is empty and UNBOUNDED if the
objective function is unbounded.)
Minimize
c = x + y + z +
w
subject to
x
+
y
≥
80
x
+
z
≥
60
x
+
y
−
w
≤
50
y
+
z
−
w
≤
50...
solve the following LP. Formulate and algebraically solve the problem. what is the new optimal z...
solve the following LP. Formulate and algebraically solve the
problem.
what is the new optimal z value
show that the current basis is optimal
max z=65x1+25x2+20x3
8x1+6x2+x3<=48
4x1+2x2+1.5x3<=20
2x1+1.5x2+0.5x3<=8
x2<=5
x1,x2,x3>=0
For the following LP problem, determine the optimal solution by the graphical solution method. Min Z=...
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
Please turn in the solution for this problem. (No need to solve the LP) The MSS...
Please turn in the solution for this problem. (No need to solve
the LP)
The MSS Company, which manufacturers a new instant salad
machine, has $350,000 to spend on advertising. The product is only
to be test marketed initially in the Dallas area. The money is to
be spent on a television advertising campaign for the Super Bowl
weekend (Friday, Saturday, and Sunday.)
The company has three options of advertisement available:
daytime advertising, evening news advertising, and the Super Bowl....
Solve the LP problem using graphical method. Determine the optimal values of the decision variables and...
Solve the LP problem using graphical method. Determine the
optimal values of the decision variables and compute the objective
function.
Maximize Z = 2A + 10B
Subject to
10A + 4B ≥ 40
A + 6B ≥ 24
A + 2B ≤ 14
A, B ≥ 0
with soln pls thank you!
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and...
Solve this linear programming (LP) problem using the
transportation method. Find the optimal transportation plan and the
minimum cost. (Leave no cells blank - be certain to enter
"0" wherever required. Omit the "$" sign in your
response.)
Minimize
8x11
+
2x12 + 5x13 +
2x21 + x22
+ 3x23 +
7x31 + 2x32 +
6x33
Subject to
x11 + x12 +
x13
=
90
x21 + x22 +
x23
=
105
x31 + x32 +
x33
=
105
x11...
Graph the following LP problem and indicate the optimal solution point: Maximize profit= $3X + 2Y...
Graph the following LP problem and indicate the optimal solution
point: Maximize profit= $3X + 2Y Subject to 2X+ Y ≤ 150 2X + 3Y ≤
300 a) Does the optimal solution change if the profit per unit of X
changes to $4.50? b ) What happens if the profit function should
have been $3X + 3Y? I need help solving this problem using solver
in excel
Identify the type of optimal solution for the following LP problems by the graphical solution method....
Identify the type of
optimal solution for the following LP problems by the graphical
solution method. Show your work
(1) Min 2X1 +
3X2
S.T. 2X1 - 2X2
<= 2
-2X1 +
X2 <= 1
X1 => 0, X2 => 0
If the objective function of the above formulation is changed
from Min 2X1 + 3X2 to Max
2X1 + 3X2, what type of
optimal solution does this problem provide? Note that all
constraints remain...
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