# SOLUTION: 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 i

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 Click here to see ALL problems on Linear Algebra Question 28550: 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. Identify 2 points that satisfy the inequalities.Answer by stanbon(57337)   (Show Source): You can put this solution on YOUR website!20<=x<=100 10<=y<=100 Labor inequality: 3x+8y<=400 hrs. Two points that satisfy: Let x=40 then 120+8y<=400 8y<=280 y<=35 Let x=80 then 240+8y<=400 8y<=160 y<=20 Cheers, Stan H>