Vin Chemical Sdn. Bhd. produces two types of paint - super-gloss enamel paint and water- based emulsion paint. These paints are produced during a 40-hour work week and then shipped out at the end of the week. They require 10 kg and 2 kg of raw material per bucket of 5 litre paint, respectively. The company has access to 5000 kg of raw material per week. Only one product can be created at a time with production times for each of 0.05 and 0.02 hour, respectively. The plant can only store 1500 buckets of total paints produced per week. The company makes profits of RM80 and RM65 on each bucket of enamel and emulsion paint, respectively. a) Set up the linear programming problem to maximize profit. (5 marks) b) Solve the linear programming problem with the Simplex method. (15 marks)