Exe-uPVC Pen manufacturer produces two types of uPVC windows. The company is paying Devon County Council £2, and £3 Co2 emission fee per production of Type-1 and Type-2 windows, respectively. To produce one windows, three operations are required which are cutting, drilling, and assembling. The operation times cutting. drilling, and assembling operations are provided in Table Q.1 for the Type-1 and Type- 2 windows. Figure Q.1. Required activities for uPVC manufacturing. Operation Required Time for Required Time for Type-1 (Hours) Type-2 (Hours) 0.5 0.25 1 1 Cutting Drilling Assembling 3 1 In addition, the production engineer of the company has specified that there is only 4 hours available time per day for the cutting operation. Similarly, he has specified that, drilling operation must be used at least 20 hours per day, and the assembling operation is 10 hours per day. (a) Construct a Linear Programming (LP) model for this problem and write its standard LP form. (b) Solve the linear programming problem that is found in Q1(a) using graphical method and find a feasible solution and its associated objective value. (c) Solve the linear programming problem that is found in Q1(a) using M-method as a maximisation problem and find the feasible solutions sets (Choose M as 100). (d) Solve the linear programming problem that is found in Q1(a) using Two-Phase method.