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 10 child bikes and 12 adult bikes in a week No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answer 1

Step-by-step explanation:

The answer would be:

Yes, 4c + 6a (is less or equal to) 120

and 4c + 4a (is less or equal to) 100

Step-by-step explanation:

The making and testing of 10 child bikes (10c) and 12 adult bikes (12a) per week would take a total of:

100 b (hours to build) and 80 t (hours to test)

If the company is able to have up to 120 hours of b (building time) and 100 hours of t (testing time) that means that is able to make a total of 10 child bikes and 12 adult bikes per week.

TOTAL: 100 B 80 T

Company's max: 120 B 100T

The symbol presented means (less or equal) which means that the number on the left have or will be less than or equal to the number presented on the right.