• Home
  • Blog
  •   []1. Consider a capital budgeting example with five projects from which to select. Let x1 = 1 if project a is selected, 0 if not, for a = 1,…

  []1. Consider a capital budgeting example with five projects from which to select. Let x1 = 1 if project a is selected, 0 if not, for a = 1,…

0 comments

 
1.
Consider a capital budgeting example with five projects from which to select. Let x1 = 1 if project a is selected, 0 if not, for a = 1, 2, 3, 4, 5. Projects cost $100, $200, $150, $75, and $300, respectively. The budget is $450. 

Write the appropriate constraint for the following condition: Choose no fewer than 3 projects. 

 
HTML Editor
2.
Consider a capital budgeting example with five projects from which to select. Let x1 = 1 if project a is selected, 0 if not, for a = 1, 2, 3, 4, 5. Projects cost $100, $200, $150, $75, and $300, respectively. The budget is $450. 

Write the appropriate constraint for the following condition: If project 3 is chosen, project 4 must be chosen. 

 
HTML Editor
3.
Consider a capital budgeting example with five projects from which to select. Let x1 = 1 if project a is selected, 0 if not, for a = 1, 2, 3, 4, 5. Projects cost $100, $200, $150, $75, and $300, respectively. The budget is $450. 

Write the appropriate constraint for the following condition: If project 1 is chosen, project 5 must not be chosen. 

 
HTML Editor
4.
The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. 

3211435H13324351L666

This problem requires two different kinds of decision variables. Clearly define each kind.  

 
HTML Editor
5.
The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. 

3211435H13324351L666

Write the objective function. 

 
HTML Editor
6.
The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. 

3211435H13324351L666

Write a constraint to ensure that if machine 4 is used and machine 1 will not be used. 

 
HTML Editor
7.
The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. 

3211435H13324351L666

Write a constraint that will ensure that Weithoff purchases exactly two machines.

 
HTML Editor
8.
You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are: 
 Restriction 1. Evaluating sites S1 and S3 will prevent you from exploring site S7.
  Restriction 2. Evaluating sites Sor Swill prevent you from assessing site S5
 Restriction 3. Of all the sites, at least 3 should be assessed. 
Assuming that Si is a binary variable, write the constraint for the first restriction. 
 
HTML Editor
9.
You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are: 
 Restriction 1. Evaluating sites S1 and S3 will prevent you from exploring site S7
 Restriction 2. Evaluating sites Sor Swill prevent you from assessing site S5
 Restriction 3. Of all the sites, at least 3 should be assessed. 
Assuming that Si is a binary variable, write the constraint(s) for the second restriction. 
 
HTML Editor
10.
You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are: 
 Restriction 1. Evaluating sites S1 and S3 will prevent you from exploring site S7
 Restriction 2. Evaluating sites Sor Swill prevent you from assessing site S5
 Restriction 3. Of all the sites, at least 3 should be assessed. 
Assuming that Si is a binary variable, write the constraint for the third restriction. 
 
HTML Editor
11.
In a capital budgeting problem, if either project 1 or project 2 is selected, then project 5 cannot be selected. Which of the alternatives listed below correctly models this situation? 
 

12.
You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are: 
 Restriction 1. Evaluating sites S1 and S3 will prevent you from exploring site S7
 Restriction 2. Evaluating sites Sor Swill prevent you from assessing site S5.
 Restriction 3. Of all the sites, at least 3 should be assessed. 
Assuming that Si is a binary variable, the constraint for the first restriction is :
 

13.
You have been asked to select at least 3 out of 7 possible sites for oil exploration. Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are: 
 Restriction 1. Evaluating sites S1 and S3 will prevent you from exploring site S7
 Restriction 2. Evaluating sites Sor Swill prevent you from assessing site S5
 Restriction 3. Of all the sites, at least 3 should be assessed. 
Assuming that Si is a binary variable, write the constraint(s) for the second restriction.
 

About the Author

Follow me


{"email":"Email address invalid","url":"Website address invalid","required":"Required field missing"}