1 to 4 are based on this problem. Jack is considering purchase the following items for his backpacking trip. The cost and the condition of each item are listed in the following table: Item Number Description Condition 1 Backpacking Tarp Not if 3 and only if 2 2 Hammock Not if 3 3 Backpacking Tent Not if 1 or 2 4 Sleeping Bag Must if 5 5 Sleeping Pad Only if 4 Ci is the Cost of item i. Jack needs at least 3 items. Formulate an IP to minimize the total cost. Decision Variables: Xi=1 if item i is purchased; 0 otherwise. Question 1: What are the constraints for item 1? a.) X1+X3<=1; X2-X1<=0 b.) X1-X2-X3<=-1 c.) X1+X3<=1; X1-X2<=0 d.) X1+X3>=1; X1-X2<=0 Question 2: What is the constraint for item 2? a.) X2-X3<=0 b.) X2+X3<=1 c.) X2+X3>=1 d.) X2+X3<=0 Question 3: What is the constraint for item 4? a.) X4+X5>=0 b.) X4-X5>=0 c.) X4-X5<=0 d.) X4+X5<=0 Question 4: Which statement about the formulation is not true? a.) In this problem, the non-negativity constraint is not required. b.) We should declare Xi binary variable. c.) X1+X2+X3+X4+X5<=3 ensure Jack purchase at least 3 items. d.)The constraint for item 5 is X5-X4<=0.
1 to 4 are based on this problem. Jack is considering purchase the following items for his backpacking trip. The cost and the condition of each item are listed in the following table: Item Number Description Condition 1 Backpacking Tarp Not if 3 and only if 2 2 Hammock Not if 3 3 Backpacking Tent Not if 1 or 2 4 Sleeping Bag Must if 5 5 Sleeping Pad Only if 4 Ci is the Cost of item i. Jack needs at least 3 items. Formulate an IP to minimize the total cost. Decision Variables: Xi=1 if item i is purchased; 0 otherwise. Question 1: What are the constraints for item 1? a.) X1+X3<=1; X2-X1<=0 b.) X1-X2-X3<=-1 c.) X1+X3<=1; X1-X2<=0 d.) X1+X3>=1; X1-X2<=0 Question 2: What is the constraint for item 2? a.) X2-X3<=0 b.) X2+X3<=1 c.) X2+X3>=1 d.) X2+X3<=0 Question 3: What is the constraint for item 4? a.) X4+X5>=0 b.) X4-X5>=0 c.) X4-X5<=0 d.) X4+X5<=0 Question 4: Which statement about the formulation is not true? a.) In this problem, the non-negativity constraint is not required. b.) We should declare Xi binary variable. c.) X1+X2+X3+X4+X5<=3 ensure Jack purchase at least 3 items. d.)The constraint for item 5 is X5-X4<=0.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
1 to 4 are based on this problem.
Jack is considering purchase the following items for his backpacking trip. The cost and the condition of each item are listed in the following table:
| Item Number | Description | Condition |
| 1 | Backpacking Tarp | Not if 3 and only if 2 |
| 2 | Hammock |
Not if 3 |
| 3 | Backpacking Tent | Not if 1 or 2 |
| 4 | Sleeping Bag | Must if 5 |
| 5 | Sleeping Pad | Only if 4 |
Ci is the Cost of item i. Jack needs at least 3 items. Formulate an IP to minimize the total cost.
Decision Variables:
Xi=1 if item i is purchased; 0 otherwise.
Question 1:
What are the constraints for item 1?
a.) X1+X3<=1; X2-X1<=0
b.) X1-X2-X3<=-1
c.) X1+X3<=1; X1-X2<=0
d.) X1+X3>=1; X1-X2<=0
Question 2:
What is the constraint for item 2?
a.) X2-X3<=0
b.) X2+X3<=1
c.) X2+X3>=1
d.) X2+X3<=0
Question 3:
What is the constraint for item 4?
a.) X4+X5>=0
b.) X4-X5>=0
c.) X4-X5<=0
d.) X4+X5<=0
Question 4:
Which statement about the formulation is not true?
a.) In this problem, the non-negativity constraint is not required.
b.) We should declare Xi binary variable.
c.) X1+X2+X3+X4+X5<=3 ensure Jack purchase at least 3 items.
d.)The constraint for item 5 is X5-X4<=0.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.