QUESTION 2 You are the Manager of Durban city beach, which is among the popular vacation destination for many people throughout the year. The city employs lifeguards to ensure the safety of vacationing public. The lifeguards are assigned to work five consecutive days each week und may have two days off. The number of vacationing poblic varies each day. Part of your responsibilities is to minimize labour costs ussociated with salaries emanating from scheduling of lifeguards. You therefore, have to determine the most effective way to sehedule lifeguards. You examine historical daa concerning the average number of vacationing public each day, from existing company records. Using this historical data, you estimate the number of lifeguards required to handle vacationing public, as shown in Table Q2a. Table Q2a Lifeguards required each day of the week However, due to strong Unions, the lifeguards are guaranteed a five-day work week with two consecutive days off. The base salary for lifeguards is R2,000 per week. Given that most lifeguards prefer to have Saturday or Sunday off, the Union officials have suecessfully negotiated bonuses of RS00 per day for its members who work on these days. The possible shifts and sularies for lifeguards are shown in Table Q2b. should be assigned to each shift, such that the total salary expense for Durban city beach Since labeur costs is of concern to you, you wum is as low as possible whilst maintsining a sufficient number of lifeguards available each day. 2 Formulate an Integer Linear Programming (ILP) model for this problem. QUESTION 2 You are the Manager of Durban city beach, which is among the popular vacation destination for many people throughout the year. The city employs lifeguards to ensure the safety of vacationing public. The lifeguards are assigned to work five consecutive days each week und may have two days off. The number of vacationing poblic varies each day. Part of your responsibilities is to minimize labour costs ussociated with salaries emanating from scheduling of lifeguards. You therefore, have to determine the most effective way to sehedule lifeguards. You examine historical daa concerning the average number of vacationing public each day, from existing company records. Using this historical data, you estimate the number of lifeguards required to handle vacationing public, as shown in Table Q2a. Table Q2a Lifeguards required each day of the week However, due to strong Unions, the lifeguards are guaranteed a five-day work week with two consecutive days off. The base salary for lifeguards is R2,000 per week. Given that most lifeguards prefer to have Saturday or Sunday off, the Union officials have suecessfully negotiated bonuses of RS00 per day for its members who work on these days. The possible shifts and sularies for lifeguards are shown in Table Q2b. should be assigned to each shift, such that the total salary expense for Durban city beach Since labeur costs is of concern to you, you wum is as low as possible whilst maintsining a sufficient number of lifeguards available each day. 2 Formulate an Integer Linear Programming (ILP) model for this
