A farmer has 200 acres of land suitable for cultivating crops A, B, and C. The cost per acre of cultivating crop A, crop B, and crop C is RM 40, RM 60, and RM 80, respectively. The farmer has RM12, 600 available for land cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours, and each acre of crop C requires 40 labor-hours. The farmer has a maximum of 5950 labor hours available. If she wishes to use all of her cultivable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Use either inverse of the matrix method or Cramer’s Rule method to determine your answer.
A farmer has 200 acres of land suitable for cultivating crops A, B, and C. The cost per acre of cultivating crop A, crop B, and crop C is RM 40, RM 60, and RM 80, respectively. The farmer has RM12, 600 available for land cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours, and each acre of crop C requires 40 labor-hours. The farmer has a maximum of 5950 labor hours available. If she wishes to use all of her cultivable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Use either inverse of the matrix method or Cramer’s Rule method to determine your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A farmer has 200 acres of land suitable for cultivating crops A, B, and C. The cost per acre of cultivating crop A, crop B, and crop C is RM 40, RM 60, and RM 80, respectively. The farmer has RM12, 600 available for land cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours, and each acre of crop C requires 40 labor-hours. The farmer has a maximum of 5950 labor hours available. If she wishes to use all of her cultivable land, the entire budget, and all the labor available, how many acres of each crop should she plant?
Use either inverse of the matrix method or Cramer’s Rule method to determine your answer.
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