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1. Formulate the optimisation problem; in other words, define the objective function and any associated constraints drawing on any relevant background theory, 2. Discuss the MATLAB implementation, 3. Show and discuss your results using any appropriate figures. A portfolio of investment projects has been proposed for a company for next year (as summarised in the table below) Project Net present Value (, Millions) Cost (, Millions) 1 100 61 2 60 28 3 70 33 4 65 30 5 50 25 6 50 17 7 45 8 12 9 40 16 10 30 10 a) Select the optimal portfolio of projects to maximise total portfolio net present value, given a total budget of 100 million. b) How would the portfolio and total net present value change if the budget were changed to 110 million? Nm 25 40 (Hint: You should consider the use of MATLAB's mixed integer linear programming (MILP) function intlinprog to answer this question)

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