2. A St Catharines construction company is looking at five possible projects for 2022. The company will need tradespeople and labourers. The relevant data is summarized below. 5 Projects 1 10 10 8 Tradespeople needed Labourers needed Net Revenue in ($100,000) 45 2 30 35 17 3 25 30 19 4 20 25 13 35 30 Formulate a linear integer program that will maximize the company's profit, subject to the following constraints: use no more than 70 tradespeople, use no more than 80 labourers, project 4 can be done only if project 2 is done, if either project 3 or 1 is done, both must be done, the maximum number of projects is 3, if project 5 is done, project 2 cannot be done