= = Q2. (30 marks) Consider the following problem: Maximize 24 = 2X1 + 2X2 + 3X3 Maximize Z2 = 1.5X1 + 3X2 + 2X2 Maximize Zz = X1 + 1.5X2 + 2X3 Subject to 3X1 + 2X2 + 2X35 24 (1) X1 + X2 + 2X3 0 Given unit price of resource (1) is $1, resource (2) is $1.2 and budget B = $55 a. Identify the minimum budget B*and its corresponding resource allocation. (15 marks) b. Use the optimum path ration (r) to obtain the final solution. (10 marks) C. Given budget B1= $ 57, let find corresponding resource allocation (b1, b2, z1, z2, z3). (5 marks) =