A small engineering consulting firm has 3 senior designers available to work on the firm’s 4 current projects over the next 2 weeks. Each designer has 80 hours to split among the projects, and the following table shows the manager’s scoring

(0 = nil to 100 = perfect) of the capability of each designer to contribute to each project, along with his estimate of the hours that each project will require.

Project Designer 1 2 3 4 1 90 80 10 50 2 60 70 50 65 3 70 40 80 85 Required 70 50 85 35 The manager wants to assign designers to maximize total capability.

(a) Formulate an allocation LP to choose an optimal work assignment.

(b) Enter and solve your model with the class optimization software.