MCM admission office is processing freshman applicants for the upcoming academic year. The admission office classifies applicants basd on their school's location, either provincial freshman, city freshman, or international freshman. The male - female ratio for city and provincial applicants are 1:1 and 3:2, respectively. For international students, the corresponding ratio is 9:1. The MCM Entrance Test (MCMET) score is an important factor in accepting students. The statistics gathered by the university indicate that the average MCMET scores for city, provincial, and international students are 75, 60, and 50, respectively. The committee on admission has established the folowing desirable goals for the new freshman class: ? (a) The incoming class is at least 1500 freshman but not to exceed 2500 freshman due to social distancing. (b) The average MCMET score for all incoming students is at least 55. (c) The international students constitute at least 12 % of the incoming class. (d) The female-male ratio is at least 3:4. (e) Provincial students constitute at least 20% but not more than 25% of the incoming class. Let X1 = number of international freshman; X2 = number of provincial freshman; X3 = number of city freshman Note: Write the deviational variables as d1plus, d1minus, etc. Follow the proper format of the decision and deviational variables. Use the format of 5X1 instead of 5*X1. Format for fraction is: 1/2X1, etc. Questions: 1) Are the goals of this goal programming problem based on PRIORITY RANK? Answer Yes or No. 2) How many goal constraints are there in goal (a)? 3) Formulate the goal (a) based on the maximum of 2500 freshman. Fill in the correct answer. + + + = 4) What deviational variable will you place in the objective function for question 3? 5) Formulate the goal (b). Simplify your equation before inputting the answer. + + + d3minus- d3plus 6) Formulate the goal (C). Simplify your equation before inputting the answer. + + + d4minus - d4plus = 7) Formulate the goal (d). Simplify your equation befre inputting the answer. Use fraction for the coeffcient of the decision variables. + + + d5minus-d5plus = MCM admission office is processing freshman applicants for the upcoming academic year. The admission office classifies applicants basd on their school's location, either provincial freshman, city freshman, or international freshman. The male - female ratio for city and provincial applicants are 1:1 and 3:2, respectively. For international students, the corresponding ratio is 9:1. The MCM Entrance Test (MCMET) score is an important factor in accepting students. The statistics gathered by the university indicate that the average MCMET scores for city, provincial, and international students are 75, 60, and 50, respectively. The committee on admission has established the folowing desirable goals for the new freshman class: ? (a) The incoming class is at least 1500 freshman but not to exceed 2500 freshman due to social distancing. (b) The average MCMET score for all incoming students is at least 55. (c) The international students constitute at least 12 % of the incoming class. (d) The female-male ratio is at least 3:4. (e) Provincial students constitute at least 20% but not more than 25% of the incoming class. Let X1 = number of international freshman; X2 = number of provincial freshman; X3 = number of city freshman Note: Write the deviational variables as d1plus, d1minus, etc. Follow the proper format of the decision and deviational variables. Use the format of 5X1 instead of 5*X1. Format for fraction is: 1/2X1, etc. Questions: 1) Are the goals of this goal programming problem based on PRIORITY RANK? Answer Yes or No. 2) How many goal constraints are there in goal (a)? 3) Formulate the goal (a) based on the maximum of 2500 freshman. Fill in the correct answer. + + + = 4) What deviational variable will you place in the objective function for question 3? 5) Formulate the goal (b). Simplify your equation before inputting the answer. + + + d3minus- d3plus 6) Formulate the goal (C). Simplify your equation before inputting the answer. + + + d4minus - d4plus = 7) Formulate the goal (d). Simplify your equation befre inputting the answer. Use fraction for the coeffcient of the decision variables. + + + d5minus-d5plus =
