Tower Engineering Corporation is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers required for each project, and the cost for each project are summarized in the following table: Project 1 2 3 4. 5 6 Engineers Required 20 55 47 38 90 63 Cost ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 Formulate an integer linear program that minimizes Tower's cost subject to constraints, which will be stated in the questions that follow. Let P-0 or 1, indicate if project i will not be undertaken or will be undertaken respectively. The most appropriate objective function for Tower Engineering Corporation is given as: O Max. P1 + 1.8P2 + 2P3 +1.5P4 + 3.6P5 +2.2P6 O Min. P1 + 1.8P2 +2P3 + 1.5P4 +3.6P5 +2.2P6 O Min. P1 P2 + P3 + P4 P5 + P6 O Max. 20P1 + 55P2 +47P3 + 38P4 + 90P5 + 63P6 O Min. 15P1 +45P2 +50P3 + 40P4 + 70P5 + 70P6