A local manufacturing company at Trinidad primarily manufactures four machine components and exports the same to an aerospace firm. Each of the products passes through four departments in their manufacturing process before they are shipped: turning, drilling, assembly, and inspection. The time requirement for processing the products in each department (in hours) for each unit produced is given in table below. Profit per unit for each product is known to you as production manager in the company. Product Department Turning Drilling Assembly Inspection Unit Profit XJ102 0.5 3 2 0.5 XM507 1.5 1 4 1.0 TR19 1.5 2 1 0.5 BP 188 1.0 3 2 0.5 The production time available in each department each month and minimum monthly production requirement to fulfil the contract are as follows: Capacity (in hours) 1500 Minimum Production Level 150 Department Turning Drilling Assembly Inspection 1700 Product XJ102 XM507 TR19 BP 188 2600 100 300 400 1200 As a production manager, you have responsibility to specify production levels for each product for coming month. Formulate the linear programming model for the case. (6 Marks)