Question
In: Advanced Math
Required: Formulate and solve the LP Relaxation of the problem. Solve it graphically, and round down...
Required: Formulate and solve the LP Relaxation of the problem. Solve it graphically, and round down to find a feasible solution.
Explain/show what excel parameters and cells should be entered into the excel to come up with the answer.
Consider the following all-integer linear program:
??? 10?1 + 3?2
?.?.
6?1 + 7?2 ≤ 40
3?1 + 1?2 ≤ 11
?1,?2 ≥ 0 and integer
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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
solve the following LP. Formulate and algebraically solve the problem. Show all steps. what is the...
solve the following LP. Formulate and algebraically solve the
problem. Show all steps.
what is the new optimal z value
max z=65x1+35x2+20x3
8x1+6x2+x3<=48
4x1+2x2+1.5x3<=20
2x1+1x2+0.5x3<=8
x2<=5
x1,x2,x3>=0
interpret the meaning of the shadow prices
2. Solve the following LP problem graphically; confirm your results using Solver in MS Excel. Maximize...
2. Solve the following LP problem graphically; confirm your
results using Solver in MS Excel.
Maximize profit = 20x1 + 10x2
Subject to: 5x1 + 4x2 ≤ 250
2x1 + 5x2 ≤ 150
x1, x2 ≥ 0
Formulate the following problem as an LP problem. Glassco manufactures wine glasses, beer glasses, champagne glasses...
Formulate the following
problem as an LP problem.
Glassco manufactures wine glasses, beer glasses, champagne
glasses and whiskey glasses. Each type of glass uses time in the
molding shop, time in the packaging shop and a certain amount of
glass. The resources required to make one of each type of glass are
given below. At present, 600 minutes of molding
time, 400 minutes of packaging time and 500 oz of glass are
available per week. Glassco has a contract that...
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 $350,000 to spend on advertising. The product is only
to be test marketed initially in the Dallas area. The money is to
be spent on a television advertising campaign for the Super Bowl
weekend (Friday, Saturday, and Sunday.)
The company has three options of advertisement available:
daytime advertising, evening news advertising, and the Super Bowl....
Consider the following transportation problem. Formulate this problem as a linear programming model and solve it...
Consider the following transportation problem. Formulate this
problem as a linear programming model and solve it using the MS
Excel Solver tool.
Shipment Costs ($), Supply, and
Demand:
Destinations
Sources
1
2
3
Supply
A
6
9
100
130
B
12
3
5
70
C
4
8
11
100
Demand
80
110
60
(4 points) Volume Shipped from Source A __________
(4 points) Volume Shipped from Source B __________
(4 points) Volume Shipped from Source C __________
(3 points) Minimum...
1) Solve the following problem graphically. Indicate (a) whether or not the problem is feasible, (b)...
1) Solve the following problem graphically. Indicate (a) whether
or not the problem is feasible, (b) whether or not the problem has
an optimal solution, and (c) whether or not the problem is
unbounded. If there is a unique optimal solution, specify the
variable values for this solution. If there are 2 alternative
optimal solutions, give the values for three different optimal
solutions.
max 9x1 + 3x2
s.t. x2 ≤ 125
− x1 + 2x2 ≤ 170
3x1 + x2...
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...
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...
Formulate but do not solve the problem. Michael Perez deposited a total of $2000 with two...
Formulate but do not solve the problem. Michael Perez deposited
a total of $2000 with two savings institutions. One pays interest
at a rate of 6%/year, whereas the other pays interest at a rate of
8%/year. If Michael earned a total of $148 in interest during a
single year, how much did he deposit in each institution? (Let x
and y denote the amount of money, in dollars, invested at 6% and
8%, respectively.) = 148 = 2000
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