Define objective, constraints, variables and find the largest possible cone inside a sphere (Hint: You can assume that R-4) Question 2 (35 Points):: Table 1 shows the student interest in control and automation engineering courses. Table 2 shows the academician interest in control and automation engineering courses. Thesis supervisors should have the same number of students according to regulation at ITU. Assign students to academician based on increasing performance as much as possible (Assign one student to one academician). Table 1: pema KST IKS Serve Burak Kiral Olkan Erol Kemal 4 Kenan Ka Kurt $ Chad Dog Emre Time Arran Can Kulacan 109 Mehmet Kabel Qiliki 16 10 Meralcanar Degir blas 15 Dramay 15 10 Mert role 2 10 Amil Yilmaz |Cra 106 Berkan Mustafa Anet 10 Bans Oudeme Missygen Sede 17 Mig leza 10 lie 14 lie IS 0 3 IS Table 2: Optimal KST EKS Servo Ibrahim Metin Cikaans Table 2: Optimal KST EKS Servo brahim Eksin 17 175 Metin Gkaan 5 1568 Question 4(15 Points):: Ficcin is a local restaurant located in Beyoglu. Ficcin offers Gabin, Velibah, Tulen, and Kopoglu. Each variety has its own requirement coded as X1, X2, X3,X4, X5 (in ounces, as shown in the table), and each has its own selling price. Ficcin has 200 ounces of X1, 90 ounces of X2, 120 ounces of X3, 75 ounces of X4 and 40 ounces of X5. Ficcin is selling a Gabin for 8 TL, Valibah for 10 TL, Tulen for 12 TL, Kopoglu for 15 TL. Gabin Velibah Tulen Kopoglu Ingredients X1 5 IS 15 IS 3 13 3 3 X2 X3 X4 4 3 3 14 3 10 10 10 12 12 X5 10 What is the maximum sales revenue? Define objective, constraints, variables and find the largest possible cone inside a sphere (Hint: You can assume that R-4) Question 2 (35 Points):: Table 1 shows the student interest in control and automation engineering courses. Table 2 shows the academician interest in control and automation engineering courses. Thesis supervisors should have the same number of students according to regulation at ITU. Assign students to academician based on increasing performance as much as possible (Assign one student to one academician). Table 1: pema KST IKS Serve Burak Kiral Olkan Erol Kemal 4 Kenan Ka Kurt $ Chad Dog Emre Time Arran Can Kulacan 109 Mehmet Kabel Qiliki 16 10 Meralcanar Degir blas 15 Dramay 15 10 Mert role 2 10 Amil Yilmaz |Cra 106 Berkan Mustafa Anet 10 Bans Oudeme Missygen Sede 17 Mig leza 10 lie 14 lie IS 0 3 IS Table 2: Optimal KST EKS Servo Ibrahim Metin Cikaans Table 2: Optimal KST EKS Servo brahim Eksin 17 175 Metin Gkaan 5 1568 Question 4(15 Points):: Ficcin is a local restaurant located in Beyoglu. Ficcin offers Gabin, Velibah, Tulen, and Kopoglu. Each variety has its own requirement coded as X1, X2, X3,X4, X5 (in ounces, as shown in the table), and each has its own selling price. Ficcin has 200 ounces of X1, 90 ounces of X2, 120 ounces of X3, 75 ounces of X4 and 40 ounces of X5. Ficcin is selling a Gabin for 8 TL, Valibah for 10 TL, Tulen for 12 TL, Kopoglu for 15 TL. Gabin Velibah Tulen Kopoglu Ingredients X1 5 IS 15 IS 3 13 3 3 X2 X3 X4 4 3 3 14 3 10 10 10 12 12 X5 10 What is the maximum sales revenue