You have been engaged with PQR Ltd, a manufacturing company to provide advice on the most profitable production plan for the company. The company makes three products Alpha, Beta and Gamma and the appropriate data are as follows for the year 2021: Cost per unit and selling price Alpha Beta Gamma RM 70 RM 120 RM 75 18 24 30 20 16 12 Direct Material Cost Direct Labour Cost Operation 1 (RM3 per direct labour hour) Operation 2 (RM4 per direct labour hour) Variable Overhead Cost Operation 1 (RM1.50 per direct labour I hour) Operation 2 (RM2 per direct labour hour) Fixed Overhead Selling Price 9 12 15 10 8 6 33 197.00 36 275.00 39 228.00 Alpha Beta Gamma Budgeted volume per annum 600 400 800 There is a constraint on the direct labour hours for Operation 1 which is limited to 12,000 direct labour hours. The sales director has already accepted an order for 100 ALPHA, 200 BETA and 400 GAMMA which must be supplied. These quantities are included in the market demand estimates above. a. Identify any shortfall for the year 2021 based on the above information. (2 marks) b. Determine the production units of each product in order to maximise profit. (15 marks) c. Calculate the maximum profit based on your answer obtained in (b) above. (3 marks) d. Critically evaluate whether limiting factor and throughput accounting are the same thing. (20 marks) (Total : 40 marks)