The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 400x1 + 375x2 + 425x3 + 350x4 +410x5 + 500x6 s.t. x1 + x2 + x5 + X6 ≥ 1 (Residence Hall A constraint) x1 + x2 + x3 ≥ 1 (Residence Hall B constraint) X4 X5 X6 2 1 (Science building constraint) X1 + X4 X5 2 1 (Music building constraint) x2 + x3 + x4 2 1 (Math building constraint) x3 + x4 x2 + x5 X1 + X4+ X6 ≥ 1 (Arena constraint) x5 2 x6 2 1 (Auditorium constraint) 1 (Business building constraint) x1 + x2 + x3 + x4 + X5 + X6 ≥ 4 (Total locations constraint) 1, if location j is selected xj = {0, otherwise Which of the locations is within 5 minutes of the science, music, math, and business buildings? Multiple Choice Location 4 Location 2 Location 5 Location 6

Maladroit Cosmetics Company  The plant manager of the Maladroit Cosmetics Company must replace several of her filling machines that have become obsolete. She is about to take delivery of six machines at a total cost of $4 million. These machines must be installed and fully tested in time to be used on a new production line scheduled to begin operation in 6 months. Because this project is important, the plant manager would like to devote as much time as possible to the job, but she is currently handling several other projects. She thinks she has three basic choices: (1) she can handle the project informally out of her office; (2) she can assign the project to a member of her staff; or (3) the company that manufactures the machines can handle the installation project for a fee close to what the installation would cost Maladroit.  Questions   A. Would you classify the work of installing the six machines as a project?   B. Why or why not?   C. Explain how the PM might trade off one of the…