CBSE Mathematics Practice Paper 2013 set 1, given here.
Q.26 A manufacturing company makes two models A and B of a product. Each piece of model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model B requires 12 labour hours for fabricating and 3 labour hour for finishing. For fabricating & finishing, the maximum labour hours available are 180 & 30 respectively. The company makes a profit of Rs. 8,000 on each piece of model A & Rs. 12,000 on each piece of model B. How many pieces of model A & model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week?
29. A tank with rectangular base & rectangular sides, open at the top is to be constructed so that its depth is 2m & volume is 83m. If building of tank cost Rs. 70 per square metres for the base & Rs. 45 per square metres for sides. What is the cost of least expensive tank?