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Question 47629: I have tried to solve this word problem on my own but I can't seem to solve can you help?
A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let the # of bouquets produced be "b" and the # of
wreaths produced be "w".
b+w<=60
"b" bouquests will require "b" hrs of labor.
"w" wreaths will require "2w" hrs of labor.
b+2w<=80 hrs
Set up a coordinate system with "b" as the horizontal axis and
"w" as the vertical axis.
Graph the two inequalities on the coordinate system.
Keep in mind that b>=0 and w>=0 so the graph only
exist in the 1st quadrant and on the axes.
Cheers,
Stan H.
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