Question 91580
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.
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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( 300, 200, -20, 260, -20, 300, -1.25x + 250) }}}
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Area of feasibility will be at or below that graph line
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