Question 68750: 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.
Thanks for any help you can provide.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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
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Number of bouquets is "x"; Number of wreaths is "y".
1x+2y<=80
x+y<=60
x>=0
y>=0
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Shade the half-plane below y=(-1/2)x+40, below y=-x+60, to the
right of x=0, and above y=0.
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Cheers,
Stan H.
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