Question

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 5 child bikes and 15 adult bikes in a week.

Answer 1

• Yes

Explanation:

Let's calculate time for building and testing:

• 5*4 + 15*6 = 110 < 120, yes
• 5*4 + 15*4 = 80 < 100, yes

In general you would need to solve inequalities below:

• 4c + 6a ≤ 120

and

• 4c + 4a ≤ 100

Simplified, we have the system:

• 2c + 3a ≤ 60
• c + a ≤ 25