Fox Enterprises is considering six projects for possible construction over the next 4 years. Fox can undertake any of the projects partially or completely. A partial undertaking of a...

Parts a and b, please.

oect will prorate both the return and cash outlays proportionatel project will prorate (present value) returns an The expected following table. Modeling with Linear Programming ht value) returns and cash outlays for the projects are given in thexpe Cash outlay ($1000) YearI Year 2 Year 3 Year4 10.5 8.3 10.2 7.2 12.3 9.2 Return ($100 2.2 9.5 5.6 7.5 8.3 6.9 2.4 3.1 4.2 5.0 6.3 5.1 32.40 35.80 17.75 14.80 18.20 12.35 Project 14.4 12.6 14.2 10.1 7.8 35.0 20.0 70.0 Available funds ($1000)60.0 (a) Formulate the problem as a linear program, and determine the optimal pro that maximizes the total return using AMPL, Solver, or TORA. Ignore the time value of money (b) Suppose that if a portion of project 2 is undertaken, then at least an equal portion of project 6 must be undertaken. Modify the formulation of the model, and find the new optimal solution. oect will prorate both the return and cash outlays proportionatel project will prorate (present value) returns an The expected following table. Modeling with Linear Programming ht value) returns and cash outlays for the projects are given in thexpe Cash outlay ($1000) YearI Year 2 Year 3 Year4 10.5 8.3 10.2 7.2 12.3 9.2 Return ($100 2.2 9.5 5.6 7.5 8.3 6.9 2.4 3.1 4.2 5.0 6.3 5.1 32.40 35.80 17.75 14.80 18.20 12.35 Project 14.4 12.6 14.2 10.1 7.8 35.0 20.0 70.0 Available funds ($1000)60.0 (a) Formulate the problem as a linear program, and determine the optimal pro that maximizes the total return using AMPL, Solver, or TORA. Ignore the time value of money (b) Suppose that if a portion of project 2 is undertaken, then at least an equal portion of project 6 must be undertaken. Modify the formulation of the model, and find the new optimal solution