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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.

2007-05-13 10:39:40 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

x = houses
y = furniture

3x + 8y < 400
x + y < 100


Also
3 * 20 + 8 * 10 = 140 hours
20 + 10 = 30

so they have plenty of capacity to meet current orders.

2007-05-13 10:46:37 · answer #1 · answered by TychaBrahe 7 · 0 0

Let the doll houses be x and the furniture y.
For the time:
3x + 8y <400
For production limits:
x + y< 100
x>20
y>10

You can draw it yourself.

2007-05-13 17:45:51 · answer #2 · answered by qspeechc 4 · 0 0

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