The following data should be used for Questions 11, 12 \& 13 Tom Ltd. has two constraints: labour, limited to 16,000 hours, and materials, limited to 15,000kg. The firm manufactures and sells two products, X and Y. To make X, the firm uses three kgs of material and four hours of labour, whereas to make Y, the firm uses five kgs of material and four hours of labour. The selling price per unit is 94 and 120 for X and Y respectively. The cost of materials is normally 8 per kg, and the labour rate is 10 per hour. 11. Tom's Ltd. objective function is: (a) 30X+40Y (b) 94X+120Y (c) 64X+80Y (d) 24X+40Y 12. Tom's Ltd. materials and labour constraints can be defined as: (a) Materials constraint: 24X+40Y15,000, labour constraint: 40X+40Y16,000 (b) Materials constraint: 3X+5Y15,000, labour constraint: 4X+4Y16,000 (c) Materials constraint: 8X+8Y15,000, labour constraint: 10X+10Y16,000 (d) None of the above