Q(31) A toy company manufactures two types of dolls, A and B. Market tests and available resources indicated that the combined production level should not exceed 1200 dolls per week and the demand of the dolls of B type is atmost half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by atmost 600. If the company makes profit of ₹12 and ₹16 per doll respectively on dolls A and B, how many of each type should be produced weekly in order to maximize the profit?