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Formulate a linear programming problem that can be used to solve the following question. A farmer has two fields in which he grows wheat and corn. Because of different conditions, there are differences in the yield of growing these crops in these two fields. The sizes, yields, and costs are shown in the table; 6,960 bushels of wheat and 19,440 bushels of corn are to be grown. Determine a planting plan that will minimize the cost. Field 2 205 bushels $206 80 bushels $124 80 Field 1 160 bushels $179 110 bushels Subject to Corn yield/acre Cost/acre of corn Wheat yield/acre Cost/acre of wheat $143 Acres available 100 x₁ = the number of acres of wheat planted in field 1 Y₁ = the number of acres of corn planted in field 1 x₂ = the number of acres of wheat planted in field 2 Y2 = the number of acres of corn planted in field 2 ---Select---✓ F = X1 ---Select---0, y₁ ---Select--- 0, X2 ---Select--- ✓0, Y2 ---Select---0 (objective function) (available acres in Field 1) (available acres in Field 2) (bushels of wheat) (bushels of corn)

Formulate a linear programming problem that can be used to solve the following question. A farmer has two fields in which he grows wheat and corn. Because of different conditions, there are differences in the yield of growing these crops in these two fields. The sizes, yields, and costs are shown in the table; 6,960 bushels of wheat and 19,440 bushels of corn are to be grown. Determine a planting plan that will minimize the cost. Field 2 205 bushels $206 80 bushels $124 80 Field 1 160 bushels $179 110 bushels Subject to Corn yield/acre Cost/acre of corn Wheat yield/acre Cost/acre of wheat $143 Acres available 100 x₁ = the number of acres of wheat planted in field 1 Y₁ = the number of acres of corn planted in field 1 x₂ = the number of acres of wheat planted in field 2 Y2 = the number of acres of corn planted in field 2 ---Select---✓ F = X1 ---Select---0, y₁ ---Select--- 0, X2 ---Select--- ✓0, Y2 ---Select---0 (objective function) (available acres in Field 1) (available acres in Field 2) (bushels of wheat) (bushels of corn)

Advanced Engineering Mathematics
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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Formulate a linear programming problem that can be used to solve the following question. A farmer has two fields in which he grows wheat and corn. Because of different conditions, there are differences in the yield of growing these crops in these two fields. The sizes, yields, and costs are shown in the table; 6,960 bushels of wheat and 19,440 bushels of corn are to be grown. Determine a planting plan that will minimize the cost. Field 2 205 bushels $206 80 bushels $124 80 Corn yield/acre Cost/acre of corn Wheat yield/acre Cost/acre of wheat Acres available X₁ = the number of acres of wheat planted in field 1 Y₁ = the number of acres of corn planted in field 1 x₂ = the number of acres of wheat planted in field 2 y₂ = the number of acres of corn planted in field 2 ---Select---|F= Subject to Field 1 160 bushels $179 110 bushels $143 100 X1 ---Select--- 0, y₁|---Select--- 0, X2 ---Select--- 0, y₂ ---Select--- 0 (objective function) (available acres in Field 1) (available acres in Field 2) (bushels of wheat) (bushels of corn)
Transcribed Image Text:Formulate a linear programming problem that can be used to solve the following question. A farmer has two fields in which he grows wheat and corn. Because of different conditions, there are differences in the yield of growing these crops in these two fields. The sizes, yields, and costs are shown in the table; 6,960 bushels of wheat and 19,440 bushels of corn are to be grown. Determine a planting plan that will minimize the cost. Field 2 205 bushels $206 80 bushels $124 80 Corn yield/acre Cost/acre of corn Wheat yield/acre Cost/acre of wheat Acres available X₁ = the number of acres of wheat planted in field 1 Y₁ = the number of acres of corn planted in field 1 x₂ = the number of acres of wheat planted in field 2 y₂ = the number of acres of corn planted in field 2 ---Select---|F= Subject to Field 1 160 bushels $179 110 bushels $143 100 X1 ---Select--- 0, y₁|---Select--- 0, X2 ---Select--- 0, y₂ ---Select--- 0 (objective function) (available acres in Field 1) (available acres in Field 2) (bushels of wheat) (bushels of corn)
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