Question

An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy contract was 2,300 devices and took 25 workers two weeks ( 40 hours per week) to complete. The army contract was for 5,500 devices that were produced by 35 workers in three weeks. On which contract were the workers more productive?

Answer 1

Workers of army contract were more productive.

Explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

• Navy Contract:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

`=25*2*40\\=2000\ hours`

Then number of devices produced in 1 hour is =
`(2300)/(2000)= 1.15\ devices\ per\ hour`

• Army Contract:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is =
`=35*3*40\\=4200\ hours`

Then number of devices produced in 1 hour is =
`(5500)/(4200)= 1.31\ devices\ per\ hour`

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.