The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process.
Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220x8
s.t. x1 + x2 + x5 + x7 ? 1 {Building A constraint}
X1 + x2 + x3 ? 1 {Building B constraint}
X6 + x8 ? 1 {Building C constraint}
X1 + x4 + x7 ? 1 {Building D constraint}
X2 + x7 ? 1 {Building E constraint}
X3 + x8 ? 1 {Building F constraint}
X2 + x5 + x7 ? 1 {Building G constraint}
X1 + x4 + x6 ? 1 {Building H constraint}
X1 + x6 + x8 ? 1 {Building I constraint}
X1 + x2 + x7 ? 1 {Building J constraint}
Which of the constraints is a set covering constraint?
A) Building A constraint
B) Building C constraint
C) Building F constraint
D) All of the choices are correct.
E) None of the choices is correct.
Correct Answer:
Verified
Q49: A firm has prepared the following
Q50: The university administration would like to
Q51: Note: This problem requires the use
Q52: Note: This problem requires the use
Q53: Note: This problem requires the use
Q55: The university administration would like to
Q56: A firm has prepared the following
Q57: The university administration would like to
Q58: A new pizza restaurant is moving
Q59: The university administration would like to
Unlock this Answer For Free Now!
View this answer and more for free by performing one of the following actions
Scan the QR code to install the App and get 2 free unlocks
Unlock quizzes for free by uploading documents