An operator wants to make a production planning that will minimize the changing costs of the machine (such as fuel, oil, repair-maintenance, machine labor) with the tractor and machine set he has. Since the cultivation areas of field crops that can be cultivated in the region where the enterprise has a size of W / 100 (ha) are shown with the decision variables X1, X2, X3 and X4 as ha, when it is desired to create a time-limited linear programming model that will minimize the machine costs of the enterprise using the information given below; Decision variable | Machine variable Machine hour requirement (h / ha) II.PERÍOD I.PERİOD III.PERİOD expense (TL / ha) 76000 15200 3,6 6,1 6,5 9,8 The workable time values are calculated as 5700 h for the first period, 1520 h for the 6,3 8,4 9,5 5,2 X1 5,2 2,7 X2 X3 19000 Х4 95000 second period and 9500 h for the third period. a. Purpose function to minimize machine changing costs: a. Constraint equations for periodic machine (tractor) hour requirements :

An operator wants to make a production planning that will minimize the changing costs of the machine (such as fuel, oil, repair-maintenance, machine labor) with the tractor and machine set he has. Since the cultivation areas of field crops that can be cultivated in the region where the enterprise has a size of W / 100 (ha) are shown with the decision variables X1, X2, X3 and X4 as ha, when it is desired to create a time-limited linear programming model that will minimize the machine costs of the enterprise using the information given below; Decision variable | Machine variable Machine hour requirement (h / ha) II.PERÍOD I.PERİOD III.PERİOD expense (TL / ha) 76000 15200 3,6 6,1 6,5 9,8 The workable time values are calculated as 5700 h for the first period, 1520 h for the 6,3 8,4 9,5 5,2 X1 5,2 2,7 X2 X3 19000 Х4 95000 second period and 9500 h for the third period. a. Purpose function to minimize machine changing costs: a. Constraint equations for periodic machine (tractor) hour requirements :

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Description: An operator wants to make a production planning that will minimize the changing costs of themachine (such as fuel, oil, repair-maintenance, machine labor) with the tractor and machineset he has. Since the cultivation areas of field crops that can be

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

An operator wants to make a production planning that will minimize the changing costs of the
machine (such as fuel, oil, repair-maintenance, machine labor) with the tractor and machine
set he has. Since the cultivation areas of field crops that can be cultivated in the region where
the enterprise has a size of W/ 100 (ha) are shown with the decision variables X1, X2, X3 and
X4 as ha, when it is desired to create a time-limited linear programming model that will
minimize the machine costs of the enterprise using the information given below;
Decision
Machine hour requirement (h / ha)
II.PERÍOD
Machine
variable
variable
I.PERİOD
III.PERIOD
expense (TL /
ha)
3,6
6,1
6,5
9,8
- The workable time values are calculated as 5700 h for the first period, 1520 h for the
X1
76000
6,3
8,4
9,5
5,2
5,2
2,7
X2
15200
X3
19000
X4
95000
second period and 9500 h for the third period.
a. Purpose function to minimize machine changing costs:
a. Constraint equations for periodic machine (tractor) hour requirements :
b. Equation expressing the business land constraint :

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