Fig A 2 3 The co ordinates of vertices O P Q R S and I are 0

Last updated: 10/10/2023

Fig A 2 3 The co ordinates of vertices O P Q R S and I are 0 0 20000 0 20000 6000 10500 34500 5000 40000 and 0 40000 respectively Note that 0 40 000 T X Rationalised 2023 24 P 20 000 0 x 20 000 MATHEMATICAL MODELLING S 5 000 40 000 y 40 000 R 10 500 34 500 NCH Q 20 000 6 000 x y 45 000 203 persinday Z at P 0 0 0 Z at P 20000 0 8 20000 160000 Z at Q 20000 6000 8 20000 7 6000 202000 Z at R 10500 34500 8 10500 7 34500 325500 Z at S 5000 40000 8 5000 7 40000 320000 Z at T 0 40000 7 40000 280000 Now observe that the profit is maximum at x 10500 and y 34500 and the maximum profit is 325500 Hence the manufacturer should produce 10500 bottles of M medicine and 34500 bottles of M medicine in order to get maximum profit of 325500 Example 6 Suppose a company plans to produce a new product that incur some costs fixed and variable and let the company plans to sell the product at a fixed price Prepare a mathematical model to examine the profitability Solution Step 1 Situation is clearly identifiable