QUESTION 5 Carpet Right is a carpet company which sale four types of carpet; Twist Carpet, Saxony Carpet, Patterned Carpet, and Looped Pile Carpet. The following table shows the monthly data for profit, labour requirement and the demand for each square metre of carpet. Twist Saxony Patterned Looped Pile Total Available Profit (sq metres) 50 30 60 70 Material A (metre) 20 10 10 5 5000 Material B (metre) 10 8 5 5 5000 Labour Hours 5 3 6 7 1000 Maximum Demand 2000 3000 1000 1000 Carpet Right has its goals according to priority as follows: 1. Achieve at least RM50,000 per month 2. To utilise all the available material A and B 3. Do not overuse the labour hours 4. Fulfil the maximum demand for each type of carpet. Formulate the goal programming equations for this problem and solve the problem using OM for Windows and interpret the results. (20 marks)