Q12 A company produces two types of hats. Each hat of the first type requires twice as much labour time as the second type. If all hats are of the second type only, the company can produce a total of 500 hats a day. The market limits daily sales of first and second types to 150 and 250 hats. Assuming that the profits per hat are Rs. 8 for type I and Rs. 5 for type II. Formulate the problem as a linear programming model in order to determine the number of hats to be produced of each type so as to maximize the profit.
Ans: Maximize (Z) = 8×1+5×2 Subject to constraints 2×1+x2≤500, x1≤150, x2≤250
Non Negative Restrictions x1, x2≥0
