Garden City Beach is a popular summer vacation destination for thousands of people. Each summer, the city hires temporary lifeguards to ensure the safety of the vacationing public. Garden City's lifeguards are assigned to work five consecutive days each week and then have two days off. However, the city's insurance company requires them to have at least the following number of lifeguards on duty each day of the week?JUST NEED PART B Garden City Beach is a popular summer vacation destination for thousands of people. Each summer, the city hires temporary lifeguards to ensure the safety of the vacationing public. Garden City's lifeguards are assigned to work five consecutive days each week and then have two days off. However, the city's insurance company requires them to have at least the following number of lifeguards on duty each day of the week: Minimum Number of Lifeguards Required Each Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Lifeguards $18171616161419$ The city manager would like to determine the minimum number of lifeguards that will have to be hired. a$.$ Select the correct ILP model for this problem. I MIN X$1+$ X$2+$ X$3+$ X$4+$ X$5+$ X$6+$ X$7$ II MIN X$1+$ X$2+$ X$3+$ X$4+$ X$5+$ X$6+$ X$7$ ST X$2+$ X$3+$ X$4+$ X$5+$ X$6>17$ ST X$2+$ X$3+$ X$4+$ X$5+$ X$6>18$ X$3+$ X$4+$ X$5+$ X$6+$ X$7218$ X$3+$ X$4+$ X$5+$ X$6+$ X$7>17$ X$1+$ X$4+$ X$5+$ X$6+$ X$7>16$ X$1+$ X$4+$ X$5+$ X$6+$ X$7>16$ X$1+$ X$2+$ X$5+$ X$6+$ X$7>16$ X$1+$ X$2+$ X$5+$ X$6+$ X$7>16$ X$1+$ X$2+$ X$3+$ X$6+$ X$7>14$ X$1+$ X$2+$ X$3+$ X$6+$ X$716$ X$1+$ X$2+$ X$3+$ X$4+$ X$716$ X$1+$ X$2+$ X$3+$ X$4+$ X$714$ X$1+$ X$2+$ X$3+$ X$4+$ X$5>19$ X$1+$ X$2+$ X$3+$ X$4+$ X$5>19$ X; $20$ X; $20$III MAX X$1+$ X$2+$ X$3+$ X$4+$ X$5+$ X$6+$ X$7$ IV MAX X$1+$ X$2+$ X$3+$ X$4+$ X$5+$ X$6+$ X$7$ ST X$2+$ X$3+$ X$4+$ X$5+$ X$6$ S $18$ ST X$2+$ X$3+$ X$4+$ X$5+$ X$6<17$ X$3+$ X$4+$ X$5+$ X$6+$ X$7518$ X$3+$ X$4+$ X$5+$ X$6+$ X$7>17$ X$1+$ X$4+$ X$5+$ X$6+$ X$7=16$ X$1+$ X$4+$ X$5+$ X$6+$ X$7>16$ X$1+$ X$2+$ X$5+$ X$6+$ X$7$ s $16$ X$1+$ X$2+$ X$5+$ X$6+$ X$7$ S $19$ X$1+$ X$2+$ X$3+$ X$6+$ X$7$ s $14$ X$1+$ X$2+$ X$3+$ X$6+$ X$7>16$ X$1+$ X$2+$ X$3+$ X$4+$ X$7=16$ X$1+$ X$2+$ X$3+$ X$4+$ X$7$ S $14$ X$1+$ X$2+$ X$3+$ X$4+$ X$5<19$ X$1+$ X$2+$ X$3+$ X$4+$ X$5>16$ X; $>0$ X; $>0$ II b$.$ Implement your model in a spreadsheet and solve it$.$ How many lifeguards will Garden City Beach have to schedule for each day of the week? Workers Shift Scheduled $152.0334355$ X X X X $6375$