Agro Products makes two types of fertilizers that are sold in 50-lb bags. A 50-lb bag of Fertilizer A contains 5 lb of nitrogen, 10 lb of phosphorus, and 20 lb of potassium. A 50-lb bag of Fertilizer B contains 6 lb of nitrogen, 4 lb of phosphorus, and 4 lb of potassium. Agro Products has 1800 lb of nitrogen, 1600 lb of phosphorus, and 2600 lb of potassium on hand. (a) Write a system of linear inequalities that gives the restrictions to be placed on the number of bags of each type of fertilizer that Agro Products can manufacture. (Let x represent the number of bags of Fertilizer A, and y represent the number of bags of Fertilizer B.) ≤ 1800 ≤ 1600 ≤ 2600 x≥ 0, y≥ 0 (b) Graph the solution set S for the system of linear inequalities found in part (a). (c) Is it possible for Agro Products to make 100 50-lb bags of Fertilizer A and 600 50-lb bags of Fertilizer B? Prove your assertion.
Agro Products makes two types of fertilizers that are sold in 50-lb bags. A 50-lb bag of Fertilizer A contains 5 lb of nitrogen, 10 lb of phosphorus, and 20 lb of potassium. A 50-lb bag of Fertilizer B contains 6 lb of nitrogen, 4 lb of phosphorus, and 4 lb of potassium. Agro Products has 1800 lb of nitrogen, 1600 lb of phosphorus, and 2600 lb of potassium on hand. (a) Write a system of linear inequalities that gives the restrictions to be placed on the number of bags of each type of fertilizer that Agro Products can manufacture. (Let x represent the number of bags of Fertilizer A, and y represent the number of bags of Fertilizer B.) ≤ 1800 ≤ 1600 ≤ 2600 x≥ 0, y≥ 0 (b) Graph the solution set S for the system of linear inequalities found in part (a). (c) Is it possible for Agro Products to make 100 50-lb bags of Fertilizer A and 600 50-lb bags of Fertilizer B? Prove your assertion.
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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Agro Products makes two types of fertilizers that are sold in 50-lb bags. A 50-lb bag of Fertilizer A contains 5 lb of nitrogen, 10 lb of phosphorus, and 20 lb of potassium. A 50-lb bag of Fertilizer B contains 6 lb of nitrogen, 4 lb of phosphorus, and 4 lb of potassium. Agro Products has 1800 lb of nitrogen, 1600 lb of phosphorus, and 2600 lb of potassium on hand.
(a) Write a system of linear inequalities that gives the restrictions to be placed on the number of bags of each type of fertilizer that Agro Products can manufacture. (Let x represent the number of bags of Fertilizer A, and y represent the number of bags of Fertilizer B.)
|
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≤ | 1800 |
|
|
|
|
≤ | 1600 |
|
|
≤ | 2600 |
| x≥ 0, y≥ 0 |
(b) Graph the solution set S for the system of linear inequalities found in part (a).
(c) Is it possible for Agro Products to make 100 50-lb bags of Fertilizer A and 600 50-lb bags of Fertilizer B? Prove your assertion.
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