Please answer thoroughly and show all steps. Use a simple method if possible and explain. Don't use python to explain it to me or excel, please

1. A manufacturer of drones builds A, B, and (3 models. The drones are made of both plastic and aluminum. The company has available 91,300 units of plastic and 42,900 units of aluminum. The A, B and C models need 17", 2?, and 34 units of plastic, and 12, 21 and 15 units of aluminum, respectively. The company makes prot of $8 per Amodel drone. $12 per Bmodel drone, and $22 per IIImodel drone. The company would like to maximize its prot. a. [1.5 pts} Identify the maximization problem with equations of objective function E and the corresponding constraints, use 3:}. [3' = 1, 2. I?) as input variables. State the physical meanings of If. Ii. (11.5 pt) Is graphical method applicable for the above linear programming problem in part {a}? Give a reason for your answer. c. [1.5 pts} Refer to part {3], identify the dual minimization problem with equations of objective function in and the corresponding constraints, use yl- (r' = 1, 2, n] as input variables. :1. {11.5 pt) Is graphical method applicable for the above linear programming problem in part (c)? Give a reason for your