3 The folowing linear programming model formulation si used for the production of four diferent products, with two different manufacturing processes and two different material requirements: maximize Z= 50x1 58x2 46x3 62x4 subject to 4xi 3.5t 4.6xs 3.9x4600hr.(process1) 21.x1 26.x2 35.x3 19.x4 50hr.(process2) 15x1 23x2 18x3 25x4 36,0 bl. (material A) 8x1 12.6x2 9.7x3 10.5x4 1,700 Ib. (material B) 12 - = .60 14 12 344 x1, x2, X3, 4X = 0 .a Solve this problem by using the computer. b. Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values. c. Which is the most valuable resource to the firm? d. One of the four products si not produced ni the optimal solution. How much would the profit for this product have ot be for ti to be produced