Q1- A toy company manufactures two types of dolls, a basic version doll-A and a deluxe version doll-B. Each doll of type B takes twice as long to produce as one of type A, and the company would have time to make maximum of 1000 per day. The supply of plastic is sufficient to produce 1000 dolls per day(both A & B combined). The deluxe version requires a facny dress of ehich there are only 500 per day available. If the company makes a profit of Rs 3.00 and Rs 5.. per doll, respectively on doll A and B, then how many of each doll should be produced per day in order to maximise the total profit. Formulate this problem.
Maximize (Z) = 3×1+5×2 Subject to constraints x1+2×2≤2000,
x1+2×2≤1500, x2≤600 Non Negative Restrictions x1, x2≥0