The University of the Northern Islands (UNI) plans to institute Course Max Yearly Demand several engineering degree programs for the upcoming year. BS ME 40 students Based on a reliable market study on the demand of these 4-year BS IE 35 students programs, the following demand figures are determined. As per BS AgEng 60 students Commission of Higher Education regulation, a section should BS CHE 50 students have at most 25 students. For example, 40 admitted students in BS ME will be distributed in 2 sections, perhaps with 20 students each. During the admission test, the university may opt to open limited slots per course (e.g., just two sections for a total of 50 students for the BS AgEng program) Each year, every student admitted will bring in a revenue of PhP 32,000 (2 sems x 20 units x ave of PhP 800/ unit including laboratory). Regardless of the number of students, each section opened incurs yearly variable cost of about PhP 400,000 which includes electricity and other utilities, supplies, and wage of instructors. Aside from these variable costs, opening these courses requires the setup of the additional facilities below: Laboratory Courses with Requirement Annualized Fixed Facility Cost Fabrication Lab ME, IE, AgEng PhP 800,000 Unit Ops Lab AgEng. ChE PhP 1,200,000 Ergonomics Lab IE PhP 100,000 Formulate an Integer Linear Program that will help the university determine its optimal course of action if the decision will be based only on yearly profit during the steady state (i.e., years from now, not during the initial implementation). Assuming no student attrition (failing and shifting out students), please take note that during the steady state, revenue will come from 4 batches (not just one batch). Answer the problem using a software. The University of the Northern Islands (UNI) plans to institute Course Max Yearly Demand several engineering degree programs for the upcoming year. BS ME 40 students Based on a reliable market study on the demand of these 4-year BS IE 35 students programs, the following demand figures are determined. As per BS AgEng 60 students Commission of Higher Education regulation, a section should BS CHE 50 students have at most 25 students. For example, 40 admitted students in BS ME will be distributed in 2 sections, perhaps with 20 students each. During the admission test, the university may opt to open limited slots per course (e.g., just two sections for a total of 50 students for the BS AgEng program) Each year, every student admitted will bring in a revenue of PhP 32,000 (2 sems x 20 units x ave of PhP 800/ unit including laboratory). Regardless of the number of students, each section opened incurs yearly variable cost of about PhP 400,000 which includes electricity and other utilities, supplies, and wage of instructors. Aside from these variable costs, opening these courses requires the setup of the additional facilities below: Laboratory Courses with Requirement Annualized Fixed Facility Cost Fabrication Lab ME, IE, AgEng PhP 800,000 Unit Ops Lab AgEng. ChE PhP 1,200,000 Ergonomics Lab IE PhP 100,000 Formulate an Integer Linear Program that will help the university determine its optimal course of action if the decision will be based only on yearly profit during the steady state (i.e., years from now, not during the initial implementation). Assuming no student attrition (failing and shifting out students), please take note that during the steady state, revenue will come from 4 batches (not just one batch). Answer the problem using a software