Question 47890: I have tried to solve this word prooblem on my own but seems to come up with the wrong answer, can you please help me solve it.
A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. 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 doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Doll Houses; x>=20
Doll Furniture: y>=10
3x+8y<=400
x+y<=100
Graph these inequalities on the same x-y set of axes.
Cheers,
Stan H.
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