Question 56284: would someone please find it in there heart to assist me..god bless
A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. 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 standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities
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x+y<=50
12x+20y<=800
x>=10
y>=15
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Draw an x-y coordinate system
Graph y<=-x+50
Graph y<= (-3/5)x+40
Graph x>=10
Graph y>=15
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Cheers,
Stan H.
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