Question: [Question 2] (The total marks available for this question is 20. The weighting of each subpart is indicated in %.) The linear programming problem below

[Question 2] (The total marks available for this question is 20. The weighting of each subpart is indicated in %.) The linear programming problem below was formulated to maximise a company's revenue: max z = 10x + 15x + 25x3 s.t. 15x + 15 x2 + 25x3 55, 25x1 + 15 x + 10x3 $50, X, X X3 20. (a) Solve the problem by using the Simplex algorithm. Explain the solution found. [50% ] (b) The coefficients in the objective function above are selling prices of goods produced by the company. The company is considering an opportunity to invest a budget of B thousand pounds in advertisements in order to increase the selling prices of the goods. Formulate a linear programming problem to help the company to make an optimal fund allocation. Formulate your assumptions and introduce additional algebraic notations if needed. [50% ] 2009.0 2006 DE

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