are ₽80 and ₽90, respectively. The raw materials from which the fertilizers are made are nitrogen, sulfur, and potassium which are used in the following quantities: Nitrogen Sulfur Potassium X 3 3 8 Y 3 2 1 The available stocks include 1,500 kilograms of nitrogen, 1,300 kilograms of sulfur, and 1,200 kilograms of potassium. The objective is to maximize the profit. Find the amounts of fertilizers X and Y to be manufactured.
For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables.
i.e:
Max Z = 500x + 300y
Subject to:
4x + 2y <= 60 (1st constraint)
2x + 4y <= 48 (2nd constraint)
x, y >= 0 (non-negativity)
A factory produces two types of fertilizer: X and Y. The profits realized from a kilo of each of the two types are ₽80 and ₽90, respectively. The raw materials from which the fertilizers are made are nitrogen, sulfur, and potassium which are used in the following quantities:
| Nitrogen | Sulfur | Potassium | |
| X | 3 | 3 | 8 |
| Y | 3 | 2 | 1 |
The available stocks include 1,500 kilograms of nitrogen, 1,300 kilograms of sulfur, and 1,200 kilograms of potassium. The objective is to maximize the profit. Find the amounts of fertilizers X and Y to be manufactured.
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