Answer:
Option A is correct.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
here, c represents child bikes and a represents the adult bikes.
As per the statement:
Each child bike requires 4 hours to test, each adult bike 4 hours to test and the company is able to have up to 100 hours of testing time.
then the inequality based on the hour available to test is:
[tex]4c+4a\leq 100[/tex] .....[1]
It is also given that:
Each child bike requires 4 hours to build, each adult bike 6 hours to build and the company is able to have up to 120 hours of building time.
then the inequality based on the hour available to building is:
[tex]4c+6a\leq 120[/tex] ......[2]
then the system of inequalities given as:
[tex]4c+4a\leq 100[/tex]
[tex]4c+6a\leq 120[/tex]
we have to tell whether the company can build 20 child bikes and 6 adult bikes in the week.
Substitute the value of :
c = 20 and a = 6 in the system of inequalities:
[tex]4(20)+4(6) = 80+24 = 104\leq 100[/tex] false
[tex]4(20)+6(6)= 80+36 = 116 \leq 120[/tex] True
Therefore, the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
