Question #267731

Directions: Establish the table of information and formulate the LP Model of the following:

2.) An appliance repair shop has 5 electric fans, 12 washing machines, and 18 air conditioning units to be repaired. The store employs two part-time repairmen. Repairman A can repair 3 electric fans, 3 washing machines, and 4 airconditioning 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 Php 5,000 a week and repairman B is paid Php 4,200 a week. To minimize cost how many weeks should each of the two repairmen be employed?


1
Expert's answer
2021-11-19T13:13:11-0500

cost:

min z=5000x1+4200x2z=5000x_1+4200x_2


3x+y53x+y\ge5

x+3y12x+3y\le12

4x+6y184x+6y\ge18

2x+3y92x+3y\ge9




z(1,3)=17600z(1,3)=17600

z(2.2)=18400z(2.2)=18400

z(3,1)=19200z(3,1)=19200

z(4,1)=24200z(4,1)=24200

z(5,0)=25000z(5,0)=25000


Minimum cost: z(1,3)=Php 17600z(1,3)=Php\ 17600

repairman A is employed 1 week, repairman B is employed 3 weeks


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