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.

two-way cameras. Min Room 1 Room 2 Room 3 Room 4 Room 5 Room 6 Room 7 RoOm 8 xi=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 cameraswith(x1,x2,x3,x4,x5,x6,x7,x9,x9,x10,x11,x12,x13)=( Room 1 Room 2 Room 3 Room 4 Room 5 Room 6 Room 7 Room 8 What should the new constraint be? (d) With the policy restriction specified in part (c), determine how many two-way camera systems will need to be purchased and where they will be located. The gallery should install cameraswith(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)=(