Question

I NEED HELP FAST! THIS IS URGENT!!!!

Employees of a furniture manufacturing company spend no more than 125 hours each day building a combination of tables and chairs.
It takes 5 hours to build a table and 2 hours to build a chair.
The employees must build a combined total of at least 32 tables and chairs each day.

If t represents the number of tables built in a day, and h represents the number of chairs built in a day, which system of inequalities represents the scenario?
A. 5t+2h ≥ 32
t+h ≥ 125

B. 5t+2h ≤ 32
t+h ≥ 125

C. 5t+2h ≥ 125
t+h ≥ 32

D. 5t+2h ≤ 125
t+h ≥ 32

Answer 1

Answer: D.

5t+2h≤125

t+h≥32

Explanation:

Answer 2

Explanation:

It takes 5 hours to build a table and 2 hours to build a chair. The employees must build a combined total of at least 32 tables and chairs each day. Also, the employees spend no more than 125 hours each day building tables and chairs. Let t be the number of tables and h be the number of chairs. Then the system of inequalities representing the scenario is:

5t + 2h ≥ 32 (combined total of at least 32 tables and chairs each day)

5t + 2h ≤ 125 (employees spend no more than 125 hours each day building tables and chairs)

However, the second inequality does not make sense because it implies that the employees are building fewer than 32 tables and chairs per day. So, the correct answer is (A) 5t+2h ≥ 32, t+h ≥ 125.