Description
Compile your answers in Microsoft Excel and submit one file. Each problem should be on a separate worksheet. Do not put multiple homework problems on one worksheet.
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MGMT 306: Management Science
Spring 2024
HOMEWORK ASSIGNMENT 1
This homework assignment must be prepared individually and submitted online through
Brightspace. You may submit the assignment multiple times but only the last submission will be
graded. See the Syllabus for more information on Homework requirements and expectations. Any
necessary modifications to this assignment will be posted to Brightspace.
Due Date: Sunday, January 21, 2024
Time: 11:59pm
Compile your answers in Microsoft Excel and submit one file. Each problem should be on a
separate worksheet. Do not put multiple homework problems on one worksheet.
Problem 1 (30%): Chapter 1 – Question 9, all parts. Only formulate and do not solve. Remember to
include labels for constraints.
Problem 2 (30%): Chapter 2 – Question 5, part a only. Do not make a spreadsheet model. Only
formulate the problem and do not solve. Remember to include labels for constraints.
Hint: For formulation problems (like Questions 1 and 2), I recommend using a textbox on separate
worksheets for your answers. They are easy to read and will help the graders.
Problem 3 (40%): Chapter 3 – Question 3, parts a and b. Note, an “extreme point” is the intersection
of two constraints and are the corner points for the feasible region shape. Do not replicate the graph
in this problem in your Excel worksheet. Just answer the following questions.
Complete parts a and b as written in the textbook. Then, complete the questions below.
c. What is the objective function value for the objective function line through the point (2,3)?
(Another name for the objective function line is “isoprofit line,” see page 24 in the
textbook for a description.)
d. What is the objective function value for the objective function line through the point (1,1)?
Is this an improvement to the answer in part c?
e. Which best describes the linear program (LP): infeasible, unique optimal solution,
alternate optimal solution, or unbounded optimal solution?
f. Consider the following new constraint: The water filtering had to be replaced. The new
system will only be able to provide water to a maximum of 8 acres of tomatoes. Pepper
production is not affected.
• Will the feasible region stay the same, increase, or decrease?
• Will the optimal value stay the same, increase, or decrease?
• If the new constraint does cause the optimal solution and optimal value to change,
what are the new optimal solution and optimal value?
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