Question $1$Four business case scenarios are given below.Please summarize their data mining goals according to the background, customer needs, and business objectives. Indicate the analytical types that should be used for each data mining goal.Case $1$Background: A prestigious university aims to improve its admissions process. Their goal is to attract high$-$caliber students and ensure a diverse student body. Business Objectives:Identify and attract high$-$achieving students.Increase the number of high$-$achieving student applications by $15\%$ in the next academic year.Enhance the diversity of the student body.Improve the diversity of admitted students by $10\%.$Improve the efficiency and accuracy of the admissions process.Reduce the time required to review applications by $20\%.$Case $2$Background: A large casino wants to attract more customers and increase the frequency of visits from existing customers. Their goal is to boost overall revenue through targeted marketing and promotions.Business Objectives:Attract new customers to the casino.Increase the number of new visitors by $20\%$ in the next six months. Increase the visit frequency of existing customers.Boost the visit frequency of existing customers by $15\%.$Enhance customer engagement and satisfaction through personalized experiences.Improve customer satisfaction ratings by $10\%.$Question $2$Identify the problem, objective, constraints and decision variables in following case, as well as writing the constraints and objectives in terms of decision variables.A large hotel chain aims to optimize its pricing and room allocation strategy to maximize revenue. The hotel has a limited number of rooms of various types $($standard$,$ deluxe, and suite$)$ and faces varying demand throughout the year.For the upcoming year, the availability of different room types is as follows:Number of standard rooms: $100$Number of deluxe rooms: $50$Number of suites: $20$The total number of available rooms is $170.$ The allocation for each room type must not exceed these availabilities.The manager has reviewed past data and experiences to set the price range for each type ofroom:Standard room: $$100-$ $$200$Deluxe room: $$150-$ $$300$Suite: $$250-$ $$500$To cover operational costs, the manager requires a minimum occupancy rate of $70\%.$The manager now seeks to determine how to dynamically adjust room prices and allocate rooms efficiently to maximize profit.