Grafton Metalworks Company
Ore
1
2
3
4
5
6
A
0.19
0.43
0.17
0.2
0
0.12
A
B
C
D
D
Metal
Composition constraints
Impurity constraint
Decision variables
Metal (%)
B
C
0.15
0.12
0.1
0.25
0
0
0.12
0
0.24
0.1
0.18
0.16
Ore
1
2
3
4
5
6
Objective function
Minimiz
MAT540 Homework
Week 3
Page 1 of 3
MAT540
Week 3 Homework
Chapter 14
1.
The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to
the following probability distribution. The squad is on duty 24 hours per day, 7 days
Question 1
1.
The standard form for the computer solution of a linear
programming problem requires all variables to be to the
right and all numerical values to be to the left of the
inequality or equality sign
Answer
True
False
2 points
Question 2
1.
Prod
1.
If exactly 3 projects are to be selected from a set of 5 projects, this would be written as 3
separate constraints in an integer program.
Answer
True
False
2 points
Question 2
1.
If we are solving a 0-1 integer programming problem with three decision v
4. transportation problem
1
$6
12
4
From
A
B
C
DV
From
A
B
C
Constraint
Demand
Objective Minimize Cost
LP
To (cost)
2
$9
3
8
1
0.00
0.00
80.00
80.00
=
80
To
2
80.00
10.00
20.00
110.00
=
110
3
$100
5
11
3
0.00
60.00
0.00
60.00
=
60
Constraint
80
70
100
153
Public Budgeting and Finance
discussion
DISCUSSION 1
From the e-Activities, discuss two (2) differences between Michigans budget and your
state budget in terms of budget process, financial reporting, and costs analysis (fixed
costs, step-fixed costs, and
Product Lines
Profits for each product
Product #1
6
Time required on Line #1
Time required on Line #2
10
7
Product #1
Product #2
14
3
Total hours
100
42
3
7
Maximized profits
Product #2
4
46
Please use graphic method to solve the problem
Please enter your
Hoylake Rescue Squad
Probability of Time between calls
P(x)
0.05
0.1
0.3
0.3
0.2
0.05
1
Cumulative
(lower
Time
bound)
between calls Expectation
0
1
0.05
0.05
2
0.2
0.15
3
0.9
0.45
4
1.2
0.75
5
1
0.95
6
0.3
EV =
3.65
Average Time =
3.631578947
Simulation
R
The Livewright Medical Supplies Company
Earning
Expense
South
600
East
540
Midwest
375
80
70
50
Decision variables
0
10
1
Objective function
Maximize Profits
Constraint
750
0
<=
<=
750
5
All decision variables MUST BE integers
5775
Solve the mixed integer
Hoylake Rescue Squad
Probability of Time between calls
P(x)
0.05
0.1
0.3
0.3
0.2
0.05
1
Simulation
Cumulative
(lower
Time between
bound)
calls
0
1
0.05
2
0.15
3
0.45
4
0.75
5
0.95
6
EV =
3.65
Average Time =
3.79
Time
Cumulative
RN
between calls
clock
0.52
Product Lines
Profits for each product
Product #1
6
Time required on Line #1
Time required on Line #2
10
7
Product #1
Product #2
3
7
Maximized profits
Product #2
4
10
3
46
Please use graphic method to solve the problem
Please enter your solution in Yellow
The objective function, is a function that relates the values of decision variables to a quantity of
interest (Taylor, 2012). For example, the objective function may relate quantities of different
goods produced to profit they generate or the costs that i
Melissa Beadle is a student at Tech, and she wants to decide how many hours each day to
allocate to the following activities: class; studying; leisure and fun stuff; personal
activities such as eating, bathing, cleaning, laundry, and so on; and sleeping.
Cereal Company
a.
Linear programming model
variables
x = oats (oz)
y = rice (oz)
0.06x+0.3y
10*x+6*y<=45
2*x+3*y<=13
minimize
subject to
Cost
Vitamin A Requirement
Vitamin B Requirement
b.
Cost
0.06
0.03
Usage
oats
rice
Required
Total Cost
0
Vitamin A
10
Question 1
5 out of 5 points
Deterministic techniques assume that no uncertainty exists in model parameters.
Selected Answer:
Correct True
Correct Answer:
Correct True
Question 2
5 out of 5 points
An inspector correctly identifies defective products 90% o
Question 1
2 out of 2 points
Probabilistic techniques assume that no uncertainty exists in model parameters.
Selected Answer:
Correct False
Correct Answer:
Correct False
Question 2
2 out of 2 points
Fixed cost is the difference between total cost and tota
Question 1
2 out of 2 points
The following inequality represents a resource constraint for a maximization problem:
X + Y 20
Selected Answer:
Correct False
Correct Answer:
Correct False
Question 2
2 out of 2 points
A linear programming problem may have mor
Question 1
1. Probabilistic techniques assume that no uncertainty exists in model parameters.
True
False
2 points
Question 2
1. In general, an increase in price increases the break even point if all costs are held
constant.
True
False
2 points
Question 3
Question 1
2 out of 2 points
Probability trees are used only to compute conditional probabilities.
Selected Answer:
Correct False
Correct Answer:
Correct False
Question 2
2 out of 2 points
Seventy two percent of all observations fall within 1 standard dev