A Chemist produces two new types of fertilizers x and y. The profits realized from a kilo of Type x is P50 and from a kilo of Type y is P75. 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 4 Kilos 4 Kilos 9 Kilos y 3 Kilos 2 Kilos 1 Kilos The available stocks include 1,500 kilos of nitrogen, 1,200 kilos of potassium and 1,200 kilos of sulfur. Find the amounts of x and y to be produced in order to maximize the profit. Required: 1) Develop the Linear Programming Model 2) Identify the optimum number of x and y to be produced to maximize the profit using the graphical method.
A Chemist produces two new types of fertilizers x and y. The profits realized from a kilo of Type x is P50 and from a kilo of Type y is P75. 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 4 Kilos 4 Kilos 9 Kilos y 3 Kilos 2 Kilos 1 Kilos The available stocks include 1,500 kilos of nitrogen, 1,200 kilos of potassium and 1,200 kilos of sulfur. Find the amounts of x and y to be produced in order to maximize the profit. Required: 1) Develop the Linear Programming Model 2) Identify the optimum number of x and y to be produced to maximize the profit using the graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A Chemist produces two new types of fertilizers x and y. The profits realized from a kilo of Type x is P50 and from a kilo of Type y is P75. 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 4 Kilos 4 Kilos 9 Kilos
y 3 Kilos 2 Kilos 1 Kilos
The available stocks include 1,500 kilos of nitrogen, 1,200 kilos of potassium and 1,200 kilos of sulfur. Find the amounts of x and y to be produced in order to maximize the profit.
Required:
1) Develop the Linear Programming Model
2) Identify the optimum number of x and y to be produced to maximize the profit using the graphical method.
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