Question 1. College (5 marks) A college program has the facilities and faculty to handle an enrolment of 2000 new students per semester. However, to limit class sizes to a "reasonable" level (under 200, generally), the college's registrar placed a ceiling on enrolment of 1500 new students. Although there was great demand for business courses last semester, conflicting schedules allowed only 1450 new students to take business courses. What is the utilization of this system? Question 2. Hospital (5 marks) A hospital emergency room has been designed for 110 emergency patients per day. However, to space optimization, the hospital's manager placed a ceiling on the admission of 90 patients per day. On a rainy day, only 65 emergency patients received care and treatment. What is the efficiency of this the hospital on this rainy day? Question 3. New Facility (5 marks) A car manufacture company wants to build a new production facility. The marketing has developed a feasibility study that suggests two possible capacities of 200,000 or 250,000 units per year for the new facility. The 200,000- unit plant would have an annual fixed cost of $4 million and a per unit production cost of $20. The 250,000-unit plant would have an annual fixed cost of $6 million and a per unit cost of $15. The parts will be sold for an average price of $60 per unit. a) Calculate the break-even point for each alternative. b) Suppose the company considers the sales to be 220,000 units per year. Which alternative would you recommend? Why