IKEA manufactures two products: A and B. Each unit of product A requires 5 units of raw material, and each unit of product B requires 3 units of raw material. According to the company's plan, the number of units of product B produced must be at least twice the number of units of product A produced. There are 30 units of raw material available for production. The net profits of products A and B are SR35 and SR25, respectively. a. Formulate an LP to maximize their profit. b. Solve the LP in part a using the graphical solution (i.c., draw all the constraints, mark on the graph ALL the corner points, indicate the feasible region, draw the objective function and find it's direction, determine the optimal solution).