Solution 7:
Unit Demand;
x
300
400
500
600
Total
Probability;
P(x)
0.20
0.30
0.35
0.15
1.00
x * P(x)
60.00
120.00
175.00
90.00
445.00
a. Expected value of the monthly demand = 445
Carolinas monthly or
Solution 7:
Let C = total Gasoline cost in dollar
d = distance of city
p = price of gasoline per gallon
m = mileage per gallon
The model that determines the round trip gasoline cost; C = (2 * d * p) /
Solution 9:
Total number of patients = 250
Number of patients who experienced eye relief = 90
Probability that a patient who takes the drug will experience eye relief = 90/250 = 0.36
Number of patient
Problem Solving Steps
My Example
Define the problem
Select a new supplier
One of the suppliers has to be selected among three suppliers available in
the nearby area.
The supplier with the best quality
Problem 11:
120
100
80
B
60
Optimal Solution
40
20
0
0
20
40
60
80
100
120
A
Problem 15:
a.
b. Similar to part (a), the same feasible region with a different objective function.
The optimal solution o
1. Constraints:
Constraints are a set of restrictions or limitations, which effect the inputs, decisions or
outputs. For example, a constraint of limited production capacity in a factory can affect th
Solution 3:
a.
Hamilton
400
10
10
Southern
Gas
20
Butler
15
10
Northwest Gas
200
12
15
Clermont
18
300
b. Let xij = Amount shipped from supply node i to demand node j
Min 10x11 + 20x12 + 15x13 + 12x21
Problem 7:
a. The four-week and five-week moving average for the time series is mentioned below.
Week
1
2
3
4
5
6
7
8
9
10
11
12
Sales (1000s of
gallons)
17
21
19
23
18
16
20
18
22
20
15
22
4-week MA
Solution 3:
a. Estimate of the probability of winning = 1 / 250,000 = 0.000004
Estimate of the probability of loosing =1- 0.000004 = 0.999996
Thus, the expected values for the two decision alternative
The decision to be made by Jan is to choose the kind of bakery she should start for her own
pastry business. The chance event is the level of demand, and the consequence is the payoff
which is to be m
Solution 7:
a.
Start
A
3
F
3
B
1
D
4
G
6
Finish
E
5
C
2
H
4
b. Critical Activities: Start A D E H Finish
Time required to complete the project using Critical Activities = 3 + 4 + 5 + 4 = 16
c. Activit
Solution 5:
a. Decision tree for the decision of whether Temples coach should go for a 1-point conversion
or a 2-point conversion after each touchdown:
1.00
1.00
1-Point (After 2nd touchdown) DRAW
1-P
Solution 1:
a. The expected number of customers that will arrive in a five-minute period is:
Mean; = 0.4 * 5 = 2
b. Probability that exactly 0 customer will arrive during a five-minute period is:
x
e
Solution 3:
D = 5000
C0 = $32
Ch = $2
The economic order quantity Q* that minimize the total yearly cost is:
Q =
2 DC 0
2500032
=
=400
Ch
2
Working days per year; W = 250
Demand per day; d = D / W = 5