The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms that Bayside uses for exhibitions is shown in the figure below; the openings between the rooms are numbered 1 through 13.EntranceRoom1Room214812Room3Room47Room510Room62513Room711Room8A security firm proposed that two-way cameras be installed at some room openings. Each camera has the ability to monitor the two rooms between which the camera is located. For example, if a camera were located at opening number 4, rooms 1 and 4 would be covered; if a camera were located at opening 11, rooms 7 and 8 would be covered; and so on.Management decided not to locate a camera system at the entrance to the display rooms. The objective is to provide security coverage for all eight rooms using the minimum number of two-way cameras. (a) Formulate a 0-1 integer linear programming model that will enable Bayside's management to determine the locations for the camera systems. (Let x; be the 0-1 which is 1 if a camera is installed at opening i, and 0 otherwise, for i = 1, 2, ..., 13.)Mins.t.Room 1Room 2Room 3Room 4Room 5Room 6Room 7Room 8x = 0, 1, for i = 1, 2, ..., 13(b) Solve the model formulated in part (a) to determine how many two-way cameras to purchase and where they should be located.The gallery should install(c) Suppose that management wants to provide additional security coverage for room 7. Specifically, management wants room 7 to be covered by two cameras. Which constraint would have to change?O Room 1O Room 2O Room 3cameras with (X1 X2 X3 X4 X5, X6, X7, X8, X9, X10 X11 X12, X13) =O Room 4O Room 5O Room 6O Room 7O Room 8What should the new constraint be?

(a) Minimize Z = 1x1 + 1x2 + 1x3 + 1x4 + 1x5 + 1x6 + 1x7 + 1x8 + 1x9 + 1x10 + 1x11 + 1x12 + 1x13…

(a) Formulate a 0-1 integer linear programming model that will enable Bayside's management to determine the locations for the camera systems. (Let x, be the 0-1 which is 1 if a camera is installed at opening /, and 0 otherwise, for /= 1, 2, ..., 13.) Min s.t. Room 1 Room 2 Room 3 Room 4 Room 5 Room 6 Room 7 Room 8 x₁ = 0, 1, for /= 1, 2,..., 13 (b) Solve the model formulated in part (a) to determine how many two-way cameras to purchase and where they should be located. The gallery should install cameras with (x₁, x₂, X3, X4, X5, X6, X, X, X, X10*11*12*13) (c) Suppose that management wants to provide additional security coverage for room 7. Specifically, management wants room 7 to be covered by two cameras. Which constraint would have to change? O Room 1 O Room 2 O Room 3 O Room 4 O Room 5 O Room 6 O Room 7 O Room 8 What should the new constraint be?

(a) Formulate a 0-1 integer linear programming model that will enable Bayside's management to determine the locations for the camera systems. (Let x, be the 0-1 which is 1 if a camera is installed at opening /, and 0 otherwise, for /= 1, 2, ..., 13.) Min s.t. Room 1 Room 2 Room 3 Room 4 Room 5 Room 6 Room 7 Room 8 x₁ = 0, 1, for /= 1, 2,..., 13 (b) Solve the model formulated in part (a) to determine how many two-way cameras to purchase and where they should be located. The gallery should install cameras with (x₁, x₂, X3, X4, X5, X6, X, X, X, X101112*13) (c) Suppose that management wants to provide additional security coverage for room 7. Specifically, management wants room 7 to be covered by two cameras. Which constraint would have to change? O Room 1 O Room 2 O Room 3 O Room 4 O Room 5 O Room 6 O Room 7 O Room 8 What should the new constraint be?

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

ChapterC: Cases

Section: Chapter Questions

Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
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Eric Andrews has been investigating the possibility of starting a service that willpartner with grocery stores to provide a delivery service for their customers. The idea is that after purchasing their groceries, customers could go to a kiosk in the store, pay a small fee, and have their groceries delivered to their homes within60 minutes. Which of the five forces in Porter’s five forces model do you anticipate will most strongly affect Eric’s potential business and why?