Maximize: P = 22x + 15y Subject to: 3x + 4y <24 x + 2y < 18 6x + 2y <24 x 20, y>0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Kindly solve the following linear programming model. Include the complete solution, table (number 1 only), graph and objective function and constraints (number 1 only)
An appliance repair shop has 5 electric fan, 12 washing machine, and 18 air conditioning
units to be repaired. The store employs two part-time repairmen. Repairman A can repair
3 electric fan, 1 washing machine, and 4 air conditioning units in a week, while
Repairman B can repair 1 electric fan, 3 washing machines, and 6 air conditioning units
in a week. Repairman A is paid P5000 a week and Repairman B is paid P4200 a week.
To minimize cost how many weeks should each of the repairmen be employed?
Transcribed Image Text:An appliance repair shop has 5 electric fan, 12 washing machine, and 18 air conditioning units to be repaired. The store employs two part-time repairmen. Repairman A can repair 3 electric fan, 1 washing machine, and 4 air conditioning units in a week, while Repairman B can repair 1 electric fan, 3 washing machines, and 6 air conditioning units in a week. Repairman A is paid P5000 a week and Repairman B is paid P4200 a week. To minimize cost how many weeks should each of the repairmen be employed?
Maximize: P = 22x + 15y
Subject to: 3x + 4y < 24
x + 2y < 18
6x + 2y <24
x20, y>0
Transcribed Image Text:Maximize: P = 22x + 15y Subject to: 3x + 4y < 24 x + 2y < 18 6x + 2y <24 x20, y>0
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