BUS 190
Homework 2
Problem 1
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should
provide at least 40 g of carbohydrates, at least 20 g of protein, and no more than 50 g of fat. An egg (one
serving) contains 2 g o
Homework 11
Problem 1
J
Not J
Total
B
0.20
0.20
0.40
Not B
0.05
0.55
0.60
Total
0.25
0.75
1
Not E
0.06
0.56
0.62
Total
0.3
0.7
1
a.) P(J|Bnot) = P(J and Bnot)/ P(Bnot)
=0.05/0.6 = 0.0833
b.) P(B|J) = P(J and B)/ P(J)
= 0.2/0.25 = 0.8
Problem 2
T
Not T
Tot
A: amount of AMI Inc. stock
B: amount of BCM Corp. stock
Max
s.t.
3A+5B
25A+50B <= 80000
0.5A+0.25B <= 700
A <= 700
A,B >= 0
Decision Variable
# of AMI stock
800
0
Objective Function
AMI
3
Constraints
Budget
Risk
Diversity
25
0.5
C.) Sheila should purchas
Homework 9
Problem 1:
a.) Two events (A & B) are mutually exclusive when one of them occurs while the
other one does not.
b.) Example: If you were at a stoplight, turning left and right are mutually
exclusive.
c.) Two events (A& B) are independent if the
Decision Variables
Steak
Potatoes
1.2727272727 2.9090909091
Objective Function
Steak
Potatoes
$4
Cost
$2
$11
Constraints
LHS
Carbohydrates
Protein
Fat
5
20
15
15
5
2
50 >=
40 >=
24.9090909 <=
The Optimal Solution for this problem is have about 1.27 pieces
Decision Variables
Steak
Potatoes
1.2727272727 2.9090909091
Objective Function
Steak
Potatoes
$4
Cost
$2
$11
Constraints
LHS
Carbohydrates
Protein
Fat
5
20
15
15
5
2
50 >=
40 >=
24.9090909 <=
The Optimal Solution for this problem is have about 1.27 pieces
Homework 10
Problem 1
Law 1
For an event A, the probability of A occurring is a number between 0 and 1
0 <= P (A) <= 1
Law 2
If events A and B are mutually exclusive, then P (A or B) = P (A) + P (B)
Law 3
If A and B are independent events, then P (A and B
BUS2 190 Quantitative Business Analysis
Note: Probability
In a city, 53% of the population is male (and the rest is female). Among the males, 2%
carries a gene that is relevant to a rare brain disease. Among the females, 1% carries that
gene.
For the sake
BUS2 190 Quantitative Business Analysis
Homework 3
Enter your answers to Canvas.
As a rule of thumb, round your answers to 4 decimal places as needed.
3.1. Suppose P (A) = 0.2, P (B|A) = 0.4, P (B|Ac ) = 0.5.
.48
3.1.a (0.25 pt) Find P (B). [Hint: Law of
BUS2 190 Quantitative Business Analysis
Homework 2
Enter your answers to Canvas.
As a rule of thumb, round your answers to 4 decimal places as needed.
2.1. True of False. [Hint: Check the definitions.]
F
2.1.a (0.3 pt) If events A and B are mutually exclu
QBA: Exam 2 Notes
Module 5: Decision Tree
1. Rob Johnson is a product manager for Diamond Chemical. The rm is considering whether to launch a new product
line that will require building a new facility. The technology required to produce the new product is
Chapter 8 Bond Valuation
Bond is a long-term promissory note issued by a business or governmental unit. The issuer receives money in
exchange for promising to make interest payments and to repay the principal on a specified future date.
Some recent innova
BUS2 190 Quantitative Business Analysis
Homework 4 Solution
Avoid rounding errors between steps. Round your final answers to 4 decimal places as
needed.
4.1. A random variable X has the following probability distribution.
x P (X = x)
2
0.2
4
0.2
6
0.3
8
0
BUS2 190 Quantitative Business Analysis
Homework 1 Solution
1.1. When is the due date/time for each weeks assignment?
Answer 1.1.
Friday 3 pm
1.2. When does each weekly assignments grace period end?
Answer 1.2.
Saturday 11:59 pm
1.3. When does each weekly
BUS2 190 Quantitative Business Analysis
Homework 6 Solution
6.1. ABC Inc. must make a decision on its current capacity for next year. ABC is considering three alternatives. For each alternative, estimated profits (in $000s) based on next
years demand are
BUS2 190 Quantitative Business Analysis
Homework 3 Solution
As a rule of thumb. Round your answers to 4 decimal places as needed.
3.1. Suppose P (A) = 0.2, P (B|A) = 0.4, P (B|Ac ) = 0.5.
3.1.a (0.25 pt) Find P (B). [Hint: Law of total probability.]
Answe
BUS2 190 Quantitative Business Analysis
Homework 5 Solution
5.1. True of False.
5.1.a (0.5 pt) We use a circle to represent a decision node.
Answer 5.1.a. False. We use a square to represent a decision node.
5.1.b (0.5 pt) A chance node links to several u
BUS2 190 Quantitative Business Analysis
Homework 2
As a rule of thumb. Round your answers to 4 decimal places as needed.
2.1. True of False. [Hint: Check the definitions.]
2.1.a (0.3 pt) If events A and B are mutually exclusive, then P (A B) = P (A)P (B).
Bus 190 Chapter 2 and 3 Homework Solutions
Problem:
Chapter 2
13. a.
ReasonforApplying
Qualit
y
Cost/Convenience
Other
Total
Full
Time
0.218
0.204
0.039
0.461
Part
Time
0.208
0.307
0.024
0.539
Total
0.426
0.511
0.063
1.00
b. Itismostlikelyastudentwillcite