Solution:
Step 2: Fix up the graphic scale
Minimum points = 30
Maximum points = 70
1 cm. = 10 points
Step 3: Graph the data
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 |
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.
