2. Tower Engineering Corporation is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and the number of support personnel required for each project, and the expected profits for each project are summarized in the following table: 1 25 Project 2 3 4 5 6 Engineers Required 60 45 35 80 60 Support Personnel Required 20 50 50 40 75 70 Profit ($1,000,000s) 1.5 1.8 2.0 1.2 2.5 2.2 Formulate and solve an integer program by using Microsoft Excel solve that maximizes Tower's profit subject to the following management constraints: 1) Use no more than 200 engineers 2) Use no more than 175 support personnel 3) If either project 6 or project 4 is done, both must be done 4) Project 2 can be done only if project 1 is done 5) If project 5 is done, project 3 must not be done and vice versa 6) No more than three projects are to be done