SOLUTION: Hello, I am having trouble understanding and solving this problem: A furniture company makes desks and cairs. A carpenter can make a chair in 5 hours and a desk in 8 hours. Fini

Question 984090: Hello, I am having trouble understanding and solving this problem:
A furniture company makes desks and cairs. A carpenter can make a chair in 5 hours and a desk in 8 hours. Finishers take 2.5 hours to paint a chair and 2 hours to paint a desk. The carpentry department has enough people to work up to 400 hours per week, and the finishing department can put 120 hours per week.
(a.) Write a system of inequalities to model the situation.
(b.) Graph the system to show the possible numbers of desks and chairs the company can produce in a week.
-Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of chairs made
= number of desks made
= time (hours) required for a carpenter to make chairs and desks.
So, , because the carpentry department has enough people to work up to 400 hours per week.
= time (hours) required for a finisher to paint chairs and desks.
So, , because the finishing department can put 120 hours per week.
(a.) The system of inequalities to model the situation is

(b.) The graph for the system is shown below.
The solution is the quadrilateral shaded.

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