Q1. A firm is engaged in producing two products P1 and P2. Each unit of product P1 requires 2 kg of raw material and 4 labour hours for processing, where as each unit of product P2 requires 5 kg of raw material and 3 hours of labour of the same type . every week the firm has the availability of 50 kg of raw material and 60 labour hours. One unit of product P1 sold earn profit of Rs, 20 & one unit of product P2 sold gives Rs. 30 as profit. Formulate this problem as LPP to determine as to how many units of each of the products should be produced per week so that the firm can earn maximum profit, assume all units produced cab be sold in the market.
Maximize (Z) = 20×1+30×2
Subject to constraints
2×1+5×2≤50, 4×1+3×2≤60
Non Negative Restrictions x1, x2≥0
