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September 23, 2014

September 23, 2014

Posted by **Dori** on Sunday, August 12, 2007 at 5:11pm.

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

x=bouquets

y=wreaths

x+y<=60 so y<=-x+60

x+2y<=80 so y<=-x/2+40

just look at the formula for the eq. for the first one, the y-int. is 60 with a slope of -1, so the x-int. is also 60. for the 2nd eq., y-int=40 & slope is -1/2 with x-int. of 80

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