c. Linear Programming Model for profit maximization under both materials and labours are in short supply and for the next year direct materials will be available 12,000 Kgs only and direct labour hour of 9,000 DLH only

1. The income statement of Hetauda Manufacturing Company and other necessary details have been summarized below: Particulars Products Total X Y Sales Units 4,000 6,000 10,000 Sales Revenue Rs. 80,000 Rs. 180,000 Rs. 260,000 Less: Variables Cost of Goods Sold: Direct Materials @ Rs 4 Per Kg 32,000 72,000 104,000 Direct Labour @ Rs 5 Per DLH 40,000 30,000 70,000 Total Variables Cost of Goods Sold 72,000 102,000 174,000 Contribution Margin 8,000 78,000 86,000 Less: Fixed Cost Departmental Fixed Cost 4,000 16,000 20,000 Joint Fixed Cost 31,600 Total Fixed Cost 51,600 Net Income before Tax 34,400 Required: d. Calculate the optimal profit from above combination of output determined in required (c). (2) e. Profitability of sales being less than BEP if: (4) Sales Mix in Units 4,000 6,000 8,000 10,000 12,000 Profitability 0.10 0.20 0.40 0.20 0.10 f. Probability of Profit being more than Rs 20,000. (3)