Q6 A rubber co. is engaged in producing three different types of tyres A, B and C. These three different tyres are produced at the company’s two different production capacities. In a normal eight hour working day plant 1 produces 100, 200 and 200 type of tyres of A, B, C respectively. Plant II produces 120, 120, 400 type of tyres of ABC respectively. The monthly demand of A B & C is 5000, 6000, 14,000 units resp. The daily cost of operation of plant I II is Rs. 5000 and Rs. 7000 respectively. Find the minimum no. of days of operation per month at two different plants to min. the total cost while meeting the demand.
Ans: Minimize (Z) = 22×1+18×2
Subject to constraints
100×1+120×2≥5000, 200×1+120×2≥6000, 200×1+400×2≥14,000
Non Negative Restrictions x1, x2≥0
Z=2,75,000, x1=20, x2=25
