Super India Ltd. is producing three products X, Y and Z. The data for the three products is given below: X Z Y Maximum capacity 5,000 units 2,000 units 3,000 units Direct material @ Ps. 10 per kg 40 10 730 Other variable costs 36 25 10 Selling price 100 750 760 Fixed cost (unavoidable) *20,000 15.000 10,000 Calculate the best product-mix in each of the following three independent cases: (i) Total availability of raw materials is limited to 18,000 kg. (ii) Under a trade agreement, the firm cannot produce more than 7,500 units of the three products taken together. (iii) Total sales value of the three products cannot exceed *6,50,000. Give complete workings showing contribution and total profit.