Question: Please write each steps clearly and the .mod of the AMPL (3) Homework: Upon review of its past projects, the ImpactNow consulting company has decided

Please write each steps clearly and the .mod of the AMPL

(3) Homework: Upon review of its past projects, the ImpactNow consulting company has decided to focus on three different types of consulting projects: restructuring projects, growth projects and IT risk projects. Each project has different requirements on its workforce, as detailed below (all numbers are in employees required for the duration of 1 month; it is assumed that each project takes exactly one month to complete): Workforce required per project Strategy consultants IT experts Project type Restructuring 2 1 Growth 3 1 IT risk 1 3 Assume that the company has 100 strategy consultants and 75 IT experts. On average, each restructuring project results in revenues of 25,000, each growth project results in revenues of 30,000, and each IT risk project results in revenues of 20,000. The company wants to determine a project mix that maximises its revenues, subject to the available workforce. Assume that there is no shortage of projects. [30 marks] (a) Formulate a linear program for this problem. Make sure you explain your model! [10 marks] (b) Solve the model in AMPL. Make sure you submit the AMPL model! What is the optimal solution, and what is its objective value? Which constraints are binding at the optimal solution? Based on your model and solution, what advice do you give to ImpactNow? [20 marks] (3) Homework: Upon review of its past projects, the ImpactNow consulting company has decided to focus on three different types of consulting projects: restructuring projects, growth projects and IT risk projects. Each project has different requirements on its workforce, as detailed below (all numbers are in employees required for the duration of 1 month; it is assumed that each project takes exactly one month to complete): Workforce required per project Strategy consultants IT experts Project type Restructuring 2 1 Growth 3 1 IT risk 1 3 Assume that the company has 100 strategy consultants and 75 IT experts. On average, each restructuring project results in revenues of 25,000, each growth project results in revenues of 30,000, and each IT risk project results in revenues of 20,000. The company wants to determine a project mix that maximises its revenues, subject to the available workforce. Assume that there is no shortage of projects. [30 marks] (a) Formulate a linear program for this problem. Make sure you explain your model! [10 marks] (b) Solve the model in AMPL. Make sure you submit the AMPL model! What is the optimal solution, and what is its objective value? Which constraints are binding at the optimal solution? Based on your model and solution, what advice do you give to ImpactNow? [20 marks]

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