A company has 3 operational departments weaving, processing and packing with the capacity to produce 3 different types of clothes that are suiting, shirting and woolen yielding with the profit of $2, $4 and $3 per meter respectively. 1 meter suiting requires 3 mins in weaving 2 mins in processing and 1 min in packing. Similarly, 1 meter of shirting requires 4 mins in weaving 1 min in processing and 3 mins in packing while 1 meter of woolen requires 3 mins in each department. In a week total run time of each department is 60, 40 and 80 hours for weaving, processing and packing department respectively.

Read the above scenario and answer the following questions. (5 marks)

Formulate the objective function and the constraints for the above scenario in which a company seeks to maximize the profit. (5 marks)

Solve the following problem by the simplex method. 

Max Z = 4x1 + 3x2

Subject to

x1 + x2 ≤ 4

3x1 – 8x2 ≤ 8

10x1 + 7x2 ≤ 40

and x1 ≥ 0 , x2 ≥ 0

Answer rating: 100% (QA)

Objective function The objective of the company is to maximize its profit The profit earned from 1 meter of suiting shirting and woolen is 2 4 and 3 respectively Therefore the objective function is Ma... View the full answer