Answer to Question #267731 in Linear Algebra for ezbee

Question

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?

Answer 1

cost:

min $z=5000x_1+4200x_2$

$3x+y\ge5$

$x+3y\le12$

$4x+6y\ge18$

$2x+3y\ge9$

$z(1,3)=17600$

$z(2.2)=18400$

$z(3,1)=19200$

$z(4,1)=24200$

$z(5,0)=25000$

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

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