SOLUTION: Solve then graph... 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

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Question 110767: Solve then graph...
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!
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.
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Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths.
INEQUALITIES:
0<=x<=60
0<=y<=60
Labor Inequality: x +2y <= 80
Product Inequal : x + y <= 60
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Then graph the system of inequalities.
Graph the boundary lines
Draw a vertical line in the 1st Quadrant of x=60
Draw a horizontal line in the 1st Quadrant of y=60
Graph the boundary line y = (-1/2)x+40
Shade the area in the below the line 1st Quadrant.
Graph the boundary line y = -x+60
Shade the area below the line in the 1st Quadrant.
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Graphs of boundary lines:

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Cheers,
Stan H.