please include constraints

min or max objective

21. The Bayside At Gallery is consldering instaling a video camera security system to reduce lis insurance premiums. A dlagram of the eight display rooms that Bayside uses foc exhititicns is shown in Figure 7.13; the ogenings between the roorrs are numbered 1 through 13 ; A security firm proposed that two-way cameras be installed at some rocgn openings. Each cansera has the ability lo nontor the two rooms beiveen which the camera is located. Foc example. if a camera were thated at opering number 4, rocris 1 and 4 wculd be oswered; if a carnera were located at opering 11. roocrs 7 and 8 voufd be covered; and so on. Management decided not to locate a camera system at the entrance to the display foorra. The objectwe is to provide security coverage forall eight rocrs using the mirimum number of two-nay cameras. a. Formulate a 0-1 integer linea proyamrring modet that wit enable Bayside's manggemert to decermine the locatons for the camera systems. b. Sche the model formulated in part (a) to determine how many two-way cameras to pucchase and where they should be locaked