the first question include a b c d in the 2nd pic

1. A manufacturing firm has excessive production capacity, due to the discontinue of unprofitable products. Management is considering introducing three new products: A, B and C. The available capacity on the milling, lathe, and grinder machines are 500, 350, and 150 hours per week. The number of machine hours required for each unit of the respective products is: Product A (9,5, 3), Product B (3, 4,0), and Product C (5,0.2), for the milling, lathe, and grinder. Marketing department indicates that sale potential for products A and B exceeds production rate, and the sale potential for product C is 20 units per week. The estimated unit profit would be $50, $20, and $25, respectively Management desires to know the product mix to maximize profit. 1 POR (H2) a) Use the graphic method to solve this problem. Circle all the corner points on the graph. b) For each CPF solution, identify the pair of constraint boundary equations it satisfies. c) For each CPF solution, identify its adjacent CPF solutions. d) Calculate Z for each CPF solution. Identify all extreme points, solution process, and location of optimal solution. 2. Solve the following problem using Simplex method. Zmax = 2 X1 - X2 + X3 Subject to: 3 X1 + X2 + X3 = 60 Xi - X2+2 X3