A company puts 5 workers of grade A and 4 workers of grade B on a job. Each grade A worker works for x hours and is paid Rs. 60 an hour, and each grade B worker works for y hours and is paid Rs. 50 an hour. The total wage bill Z (in Rs.), which is to be minimised, is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(Z = 300x + 200y\)
The wage of the whole group is the number of workers times the hours times the hourly rate.
Grade A: \(5 \times 60 \times x = 300x\)
Grade B: \(4 \times 50 \times y = 200y\)
So the total wage bill is
\(Z = 300x + 200y\)