SOLUTION: Solve each problem. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker req

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: Solve each problem. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker req      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 91580: Solve each problem.
Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.
Answer by ankor@dixie-net.com(7696) About Me  (Show Source):
You can put this solution on YOUR website!
Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.
:
Let x = no. of classics
Let y - no. of moderns
:
15x + 12y =< 3000
:
12y =< -15x + 3000
:
y =< -(15/12)x + 3000/12
:
y = -1.25x + 250; graph this equation from x=0 to x=200
:
Graph should look like this:
+graph%28+300%2C+200%2C+-20%2C+260%2C+-20%2C+300%2C+-1.25x+%2B+250%29+
:
Area of feasibility will be at or below that graph line
:
Did this help you?