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(5+11)/2=8, (8+6)/2=7
so midpoint is (8,7).......................................................................
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Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
...
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
MAT540 Homework
Week 9
Page 1 of 2
The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to
three regions – the South, the East, and the Midwest. A salesperson in the South earns $600 in
profit per month of the company, a salesperson in the East earns $540, and a salesperson in the
Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople.
The company has a total of $750 per day available for expenses for all 12 salespeople. A
salesperson in the South has average expenses of $80 per day, a salesperson in the East has
average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses
of $50. The company wants to determine the number of salespeople to assign to each region to
maximize profit.
Formulate an integer programming model for this problem
Solve this model by using the computer.
Solve the following mixed integer linear programming model by using the computer:
MaximizeZ=5x1 +6x2 +4x3
Subject to
5x1 +3x2 +6x3 ≤20
x1+3x2 ≤12x1, x3 ≥ 0x2 ≥ 0 and integer
3. The Texas Consolidated Electronics Company is contemplating a research and development
program encompassing eight research projects. The company is constrained from embarking on
all projects by the number of available management scientists (40) and the budget available for
R&D projects ($300,000). Further, if project 2 is selected, project 5 must also be selected (but
not vice versa). Following are the resource requirements and the estimated profit for each
project.
Project
Expense
($1,000s)
Management
Scientists required
Estimated Profit
(1,000,000s)
1
$ 60
7
$0.36
2
110
9
0.82
3
53
8
0.29
4
47
4
0.16
5
92
7
0.56
6
85
6
0.61
7
73
8
0.48
8
65
5
0.41
MAT540 Homework
Week 9
Page 2 of 2
Formulate the integer programming model for this problem and solve it using the computer.
4. During the war with Iraq in 1991, the Terraco Motor Company produced a lightweight, all-
terrain vehicle code-named “J99-Terra” for the military. The company is now planning to sell
the Terra to the public. It has five plants that manufacture the vehicle and four regional
distribution centers. The company is unsure of public demand for the Terra, so it is considering
reducing its fixed operating costs by closing one or more plants, even though it would incur an
increase in transportation costs. The relevant costs for the problem are provided in the
following table. The transportation costs are per thousand vehicles shipped; for example, the
cost of shipping 1,000 vehicles from plant 1 to warehouse C is $32,000.
From
Plant
Transportation Costs ($1000s)
to Warehouse
Annual Production
Capacity
Annual Fixed
Operating
Costs
A
B
C
D
1
$56
$21
$32
$65
12,000
$2,100,000
2
18
46
7
35
18,000
850,000
3
12
71
41
52
14,000
1,800,000
4
30
24
61
28
10,000
1,100,000
5
45
50
26
31
16,000
900,000
Annual
Demand
6,000
14,000
8,000
10,000
Formulate and solve an integer programming model for this problem to assist the company in
determining which plants should remain open and which should be closed and the number of
vehicles that should be shipped from each plan to each warehouse to minimize total cost.
Topic 4 DQ 1 Comment 4
*** Comment this ***
In addition to stratification and use of the extraneous variable as an independent variable. Another ...
Topic 4 DQ 1 Comment 4
*** Comment this ***
In addition to stratification and use of the extraneous variable as an independent variable. Another way researchers attempt to control extraneous variables is through the use of random assignment. Participants in the study are randomly assigned to groups. Its use enhances the results of the study by ensuring proper relationships between the independent variable and the dependent variable is demonstrate
relative extrema inflection point analysis
Please Put in Word Document.1.Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) ...
relative extrema inflection point analysis
Please Put in Word Document.1.Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). (10 points)2.What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give one decimal place in your final answer. (10 points)3.The position function of a particle in rectilinear motion is given by s(t) = t3 - 12t2 + 45t + 4 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer. (10 points)4.A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the instant the radius is 12 cm? Include units in your answer. (10 points)5.The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer. (10 points)
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Most Popular Content
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
...
Please complete below Quantitative Methods
Chapter 5
MAT540
Week 9 Homework
MAT540 Homework
Week 9
Page 1 of 2
The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to
three regions – the South, the East, and the Midwest. A salesperson in the South earns $600 in
profit per month of the company, a salesperson in the East earns $540, and a salesperson in the
Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople.
The company has a total of $750 per day available for expenses for all 12 salespeople. A
salesperson in the South has average expenses of $80 per day, a salesperson in the East has
average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses
of $50. The company wants to determine the number of salespeople to assign to each region to
maximize profit.
Formulate an integer programming model for this problem
Solve this model by using the computer.
Solve the following mixed integer linear programming model by using the computer:
MaximizeZ=5x1 +6x2 +4x3
Subject to
5x1 +3x2 +6x3 ≤20
x1+3x2 ≤12x1, x3 ≥ 0x2 ≥ 0 and integer
3. The Texas Consolidated Electronics Company is contemplating a research and development
program encompassing eight research projects. The company is constrained from embarking on
all projects by the number of available management scientists (40) and the budget available for
R&D projects ($300,000). Further, if project 2 is selected, project 5 must also be selected (but
not vice versa). Following are the resource requirements and the estimated profit for each
project.
Project
Expense
($1,000s)
Management
Scientists required
Estimated Profit
(1,000,000s)
1
$ 60
7
$0.36
2
110
9
0.82
3
53
8
0.29
4
47
4
0.16
5
92
7
0.56
6
85
6
0.61
7
73
8
0.48
8
65
5
0.41
MAT540 Homework
Week 9
Page 2 of 2
Formulate the integer programming model for this problem and solve it using the computer.
4. During the war with Iraq in 1991, the Terraco Motor Company produced a lightweight, all-
terrain vehicle code-named “J99-Terra” for the military. The company is now planning to sell
the Terra to the public. It has five plants that manufacture the vehicle and four regional
distribution centers. The company is unsure of public demand for the Terra, so it is considering
reducing its fixed operating costs by closing one or more plants, even though it would incur an
increase in transportation costs. The relevant costs for the problem are provided in the
following table. The transportation costs are per thousand vehicles shipped; for example, the
cost of shipping 1,000 vehicles from plant 1 to warehouse C is $32,000.
From
Plant
Transportation Costs ($1000s)
to Warehouse
Annual Production
Capacity
Annual Fixed
Operating
Costs
A
B
C
D
1
$56
$21
$32
$65
12,000
$2,100,000
2
18
46
7
35
18,000
850,000
3
12
71
41
52
14,000
1,800,000
4
30
24
61
28
10,000
1,100,000
5
45
50
26
31
16,000
900,000
Annual
Demand
6,000
14,000
8,000
10,000
Formulate and solve an integer programming model for this problem to assist the company in
determining which plants should remain open and which should be closed and the number of
vehicles that should be shipped from each plan to each warehouse to minimize total cost.
Topic 4 DQ 1 Comment 4
*** Comment this ***
In addition to stratification and use of the extraneous variable as an independent variable. Another ...
Topic 4 DQ 1 Comment 4
*** Comment this ***
In addition to stratification and use of the extraneous variable as an independent variable. Another way researchers attempt to control extraneous variables is through the use of random assignment. Participants in the study are randomly assigned to groups. Its use enhances the results of the study by ensuring proper relationships between the independent variable and the dependent variable is demonstrate
relative extrema inflection point analysis
Please Put in Word Document.1.Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) ...
relative extrema inflection point analysis
Please Put in Word Document.1.Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). (10 points)2.What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give one decimal place in your final answer. (10 points)3.The position function of a particle in rectilinear motion is given by s(t) = t3 - 12t2 + 45t + 4 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer. (10 points)4.A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the instant the radius is 12 cm? Include units in your answer. (10 points)5.The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer. (10 points)
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