Question 1 A university plans to build a new computer lab for its students for data analysis and simulation modelling. It has determined the number of computers needed each month for the next 12 months based on the student enrollment, as given in Table 1. Table 1: Number of computers needed Month 1 2 3 Requirements 60 60 60 Month 7 8 Requirements 20 60 9 70 Table 2: Cost of renting Duration of rent 4 80 5 80 11 70 80 6 20 12 80 The university is wondering whether to rent the computers or buy new computers. Computers can be rented for a period of one, two, or three months. Table 2 shows the cost of renting. Cost 1 $250 2 $450 3 $650 The university does not have any computers at the start of the year. Apply linear programming (LP) to formulate the problem to determine the number of computers the university should rent each month and for how long, so that the total cost of renting is minimum. (5 marks)