. An appliance repair shop can repair at least 5 electric fans, at most 12 washing machines and at least 18 air conditioning unit. The store employs two part – time repairmen. Repairman A can repair 3 electric fans, 1 washing machines, 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 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?
Answers
Given : An appliance repair shop can repair at least 5 electric fans, at most 12 washing machines and at least 18 air conditioning unit. The store employs two part – time repairmen. Repairman A can repair 3 electric fans, 1 washing machines, 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 Php 5,000 a week and repairman B is paid Php 4,200 a week.
To Find : To minimize cost how many weeks should each of the two repairmen be employed?
Solution:
. Repairman A for A weeks & B for B weeks
Cost = 5000A + 4200B
3A + B ≥ 5
A + 3B ≤ 12
4A + 6B ≥ 18
=> 2A + 3B ≥ 9
A = 1 B = 3 => Cost = 17600
A = 2 , B = 2 => Cost = 18400
A = 3 , B = 1 => Cost = 19200
A = 4 B = 1 => Cost = 24200
A = 5 B = 0 => Cost = 25000
Minimum cost = A = 1 B = 3 => Cost = 17600
Learn More:
Shalmali wants to invest ₹50,000 in saving certificates and PPF ...
https://brainly.in/question/6332423
solved by simplex method- Max Z= 3x1+2x2 s.t. 5x1+x2≤10 4x1+ ...
https://brainly.in/question/8809746
