SOLUTION: Ok. I have answered two of these already but I cannot get this one. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to p

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Question 92520: Ok. I have answered two of these already but I cannot get this one.
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 ankor@dixie-net.com(12704) (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.
:
Let x = no. of bouquets, y = no. of wreaths
:
The labor inequality:
1x + 2y =< 80
2y =< -x + 80
y =< .5x + 40; divided both sides by 2
Graph this inequality
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The total items inequality
x + y =< 60
y =< -x + 60
Graph this inequality
:
Should look like this:

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Area of feasibility is at or below the lowest line