EXAM STUDY GUIDE 2026/2027 ACCURATE QUESTIONS
WITH VERIFIED CORRECT ANSWERS ||
ALREADY GRADED A+
<REVISED VERSION>
1. Define quantitative analysis, including its business purpose. - ANSWER ✔
Provides methods to analyze large or small amounts of data to look for
patterns, trends, and relationships. Mathematical analysis can help managers
make strategic decisions and find statistically supported solutions to business
questions.
2. Differentiate between qualitative and quantitative analysis methods. -
ANSWER ✔ Quantitate analysis utilizes the numeric values for
mathematical calculations. QuaLitative data are non-numeric. Non-numeric
data often take the form of personal opinions, indicating likes or dislikes.
Although they are not used in quantitative analysis, non-numeric data can
still play a critical role in decision-making for a business.
3. Describe how quantitative analysis is used in business decision-making. -
ANSWER ✔ It uses math and statistics to make business decisions and
evaluate business problems, strategies, and investments.
4. Identify business problems that can be solved using quantitative analysis
methods. - ANSWER ✔ Cost-benefit analysis, inventory analysis, and
forecasting revenue.
,5. Identify business problems that can be solved using qualitative analysis
methods. - ANSWER ✔ Qualitative analysis is used for case studies to find
out in detail how people feel or think.
6. Steps in Quantitative Analysis - ANSWER ✔ 1. Define problem.
2. Develop mathematical model.
3. Prepare and input data.
4. Find best solution.
5. Test solution.
6. Analyze results.
7. Implement solution.
7. ROP - ANSWER ✔ reorder point
8. lead time - ANSWER ✔ time interval between ordering and receiving the
order
9. The beta distribution method - ANSWER ✔ Te=(o+4m+p)/6
10.A textile company produces tablecloths and cloth napkins. The production
process includes two steps: cutting and sewing. Every day at least 2
production hours
must be worked in the cutting department and 6 production hours must be
worked in the sewing department. The time needed for cutting and sewing
each item as
well as the production costs for each item are provided in the table below:
Let X1 represent the number of tablecloths to be produced and let X2
represent the number of cloth napkins to be produced.
, What is the equation of the objective function Z that optimizes the
production cost?
• Max Z=2X1+6X2
• Min Z=19X1+13.50X2
• Min Z=9.50X1+3.50X2
• Max Z=9.50X1+3.50X2
• Min Z=17X1+7.50X2 - ANSWER ✔ Min Z = 9.50X1 + 3.50X2
cuz X1 goes with tablecloths production cost $9.50
and X2 goes with cloth napkins production cloths $3.50
and Min is at least 2 hours must be worked into the day
11.A manufacturing plant produces exactly 10 tons of a combination of three
products per day. The production costs are five, four, and three dollars for
products one,
two, and three, respectively. The plant works 480 minutes per day. Each ton
of product one, two, and three requires 45, 50, and 55 minutes of processing
time,
respectively.
What is the correct linear programming model for minimizing the
production cost?
• Min Z=5X1+4X2+3X3
Subject to
X1+X2+X3=10
45XI+50X2+55X3≤480
X1X2X3≥0 - ANSWER ✔ Min Z=5X1 + 4X2 + 3X3
Subject to
X1 + X2 + X3 = 10
45X1 + 50X2 + 55X3 ≤ 480
X1, X2, X3 ≥ 0
Cuz 10 tons (equals) of combination of three products =
, X1 + X2 + X3 = 10
and less than or no more than 480 minutes worked
45X1 + 50X2 + 55X3 ≤ 480
12.Consider the following linear programming formulation:
Max Z=X1+X2
Subject to
X1+X2≤4
2X1+5X2≤10
X1X2≥0
The feasible region is shown in the graph.
Which graph shows how the first constraint will shift if the resources
expressed by the first constraint are increased by one unit? - ANSWER ✔
Image #2
cuz the first constraint (x1+x2≤4) increased by 1
(x1+x2≤4+1) or x1+x2≤5 or (5,5)
13.Consider the following linear programming formulation:
Min Z = X1+X2
Subject to
X1+X2≥3
X1+X2≥5
X1X2≥0
Identify the feasible region in the graph below. Only one constraint will be
shifted at a time.