0. A consulting firm with ten employees is considering which of eight projects they should undertake during the next year. Each project will be considered on an all-or-nothing basis. Each employee works 240 days per year. No one new will be hired; up to three employees can be laid off. At least three projects must be done. The director's favourite projects are 3 , 4 , 5 , and 8 ; at least one of these must be chosen. The company wants its consumption of central processing units (CPU) to be no more than 1000 hours per year. The data for the eight potential projects are: (a) Formulate an integer model for this problem. (b) Solve the model using LINGO. .