Information Flag question Information Flag question Question 4: Linear Optimisation (12 marks) Polik Limited manufactures three different models of office chair: Junior, Comfy and Executive. Management wish to create a model to determine how many of each type of chair to produce to maximise total profit. The profit per unit sold and the maximum annual demand for each model is shown in the table below: Model Profit/unit Junior Comfy Executive $20 $60 $170 Demand (units) 11,700 9.300 2,400 The Junior model requires 3 man-hours of fabrication, the Comfy model requires 6 man-hours of fabrication and the Executive model requires 8 man-hours of fabrication. Fabrication capacity is limited to 700 man-hours each month. The Executive model requires 2 metres of leather and 2kg of Aluminium. The other two models require 1kg of plastic, 1.1kg of Aluminium and 2 metres of fabric. Leather supplies are limited to 300 metres per month while Aluminium supplies are limited to 900kg per month. Required: Question 12 Not yet answered Marked out of 5.00 Flag question a) Briefly describe the decision variables and any constraints on the model. (5 marks) Question 13 Not yet answered Marked out of b) Write down the mathematical formulation of the model. (5 marks) 5.00 Flag question Question 14 Not yet answered c) Without the need to solve the problem, one of the constraints can be identified as non-binding. Based on your answer to part b), identify the non-binding constraint and explain why it is non-binding. (2 marks) Marked out of 2.00 Flag