QUESTION 2 - LINEAR PROGRAMMING 25 MARKS Bob and Weave (BW) makes two types of chairs using skilled cutters (labour) and a strong rattan like fabric (material). Both the cutters and the fabric are in short supply and so the accountant at BW has asked you to create a linear programming model bascd on the following information to help decide the optimal product mix. Only 2,800 hours of cutters time are available to produce the chairs for this month and 3,600 meters of fabric was sourced for the same month. The maximum demand for the rocking chair is 200 chairs. Required: (a) Identify variables and derive the objective function. (3 marks) (b) Identify the constraints. (4 marks) (c) Using the graph below, identify the constraint lines in relation to your answer in part (b). [Remember to show your warkings] ( 8 marks) (d) Find the appropriate optimal production mix and relatod maximum contribution that would be eamed by BW. (5 marks) (e) Calculate the shadow price for the cutters time and the rattan fabric, if any