Q51176 A rubber company is engaged in producing 3 different kinds of tyres A, B and C. These three different tyres are produced at the company’s 2 different plants with different production capacities. In a normal 8 hrs working day plant 1 produces 50, 100 and 100 tyres of A, B and C respectively. Plant 2 produce 60, 60 and 200 tyres of type A, B and C respectively. The monthly demand for tyre A, B and C is 2,500, 3,000 and 7,000 units respectively. The daily cost of operation of plant 1 and 2 is ₹ 2,500 and ₹ 3,500 respectively. Find the minimum number of days of operation per month at 2 different plants to minimize the total costs while meeting the demand.

Solution:

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Step 2: Fix up the graphic scale

Minimum points = 30

Maximum points = 70

1 cm. = 10 points

Step 3: Graph the data

21 8 image 657

Step 4: Find the co-ordinates of the corner points

Corner Points x1 x2
A 70 0
B 20 25
C 10 33.33
D 0 50
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