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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 :

Mhanifago

Answer:

  • Yes

Step-by-step 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

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