SOLUTION: I'm having trouble finding the con straights to this problem.(there are 3) It says there is a gold ore manufacturing company. there are 2 sections that make the ore. Section A c

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: I'm having trouble finding the con straights to this problem.(there are 3) It says there is a gold ore manufacturing company. there are 2 sections that make the ore. Section A c      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 532546: I'm having trouble finding the con straights to this problem.(there are 3)
It says there is a gold ore manufacturing company. there are 2 sections that make the ore. Section A costs $20 per ton of ore Section B costs $10. They cannot spend more than $80 and section B cannot make more than section A. How much ore can they make to maximize costs?
What are the con straights?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean, "constraints"
:
It says there is a gold ore manufacturing company. there are 2 sections that make the ore.
Section A costs $20 per ton of ore Section B costs $10.
They cannot spend more than $80 and section B cannot make more than section A. How much ore can they make to maximize costs?
:
Cost constraint
20A + 10B =< 80
:
"section B cannot make more than section A"
B =< A
Therefore we can say B = A and use the 1st equation
20A + 10A =< 80
30A = < 80
A =< 80%2F30
A =< 2.67,
We have to use integers. A = 3, then B = 2
20(3) + 10(2) = 80