SOLUTION: A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is $50 and

Question 357716: A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is $50 and the profit on a small bookcase is $20. The carpenter can only spend 24 hours per week making bookcases and must make at least two of each size per week. .....i need to find the constraints.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A carpenter makes bookcases in two sizes, large and small.
let a = no. of large bookcases
Let b = no. of small
:
It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase.
"The carpenter can only spend 24 hours per week making bookcases"
6a + 2b =< 24
:
The profit on a large bookcase is $50 and the profit on a small bookcase is $20.
p = 50a + 20b
:
must make at least two of each size per week.
a => 2
b => 2
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