Agripro Fertilizer Sdn. Bhd. produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate, and 5 lb of potassium. A 100-lb bag of grade-B fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb bag of grade-C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. There are 26400 lb of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium available. By letting the number of 100-lb bags of grade-A, grade-B, and grade-C be x, y, and z respectively, form a system of linear equations to represent the situation above. (i) (ii) Using Gaussian Elimination method, find the number of 100-lb bags of

Agripro Fertilizer Sdn. Bhd. produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate, and 5 lb of potassium. A 100-lb bag of grade-B fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb bag of grade-C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. There are 26400 lb of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium available. By letting the number of 100-lb bags of grade-A, grade-B, and grade-C be x, y, and z respectively, form a system of linear equations to represent the situation above. (i) (ii) Using Gaussian Elimination method, find the number of 100-lb bags of

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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Question

Agripro Fertilizer Sdn. Bhd. produces three grades of commercial fertilizers. A
100-lb bag of grade-A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate,
and 5 lb of potassium. A 100-lb bag of grade-B fertilizer contains 20 lb of
nitrogen and 4 lb each of phosphate and potassium. A 100-lb bag of grade-C
fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium.
There are 26400 lb of nitrogen, 4900 lb of phosphate, and 6200 lb of potassium
available.
(i)
By letting the number of 100-lb bags of grade-A, grade-B, and grade-C
be x, y, and z respectively, form a system of linear equations to
represent the situation above.
(ii)
Using Gaussian Elimination method, find the number of 100-lb bags of
each of the three grades of fertilizers will be produced if all the nutrients
are used.

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