Assignment 1 - Microsoft Word (Product Activation Failed) Review View CN AaBbCcL AaBbC( AaBbCcI AaBbCc] AaBbcc. AaB AaBbCcI Emphasis Heading 1 Normal Strong Subtitle Title No Spacing Paragraph Styles 2 . . 3 4 5 . . . . 1 6 (10 points) You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables: Minimize Cost = 40x1 + 50x2 Subject to Constraint 1: 2x1 + 3x2 > 30 Constraint 2: x1 + x2 > 12 Constraint 3: 2x1 + x2 > 20 And x1 2 0, x2 2 0 a. Solve this model using Excel. b. Is x1 = 6 and x2 = 8 a feasible solution? Why? Is x1 = 5 and x2 = 7 a feasible solution? Why? d. How does the optimal solution change if the objective function is changed to Cost = 40x1 + 70x2? e. How does the optimal solution change if the third functional constraint is changed to 2x1 + x2 > 15? (7 points) Download the paper "O.S. Balogun, E.T. Jolayemi, T.J. Akingbade, H.G.Muazu. Use of Linear Programming For Optimal Production In A Production Line In Coca-Cola Bottling Company International Journal of Engineering Research and Applications, Vol. 2, Issue 5, 2012." Read the paper and write a 1-2 pages summary of the paper to answer the following