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Mrs. Burgos wants to buy atleast 30 kilos of pork and beef for her restaurant business
but can spend no more than php. 12,000 . Akilo of pork cost php. 180 and a kilo of beef cost php. 220.
find a system of linear inequalities that satisfies all the conditions stipulated and sketch the graph.
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Let x = kilos of pork and y = kilos of beef.
Then your inequalities are
x + y >= 30 (1) (at least 30 kilos)
180x + 220y <= 12000 (2) (total cost inequality)
Two other inequalities are x >= 0, y >= 0.
You sketch the plot on your own by plotting the line
y = 30 - x first
and then plotting the line
y = .
The area of feasibility is the domain in the first quadrant, which is above or on the first line and below or on the second line.
Happy learning (!)
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For making plots online, use the plotting tool at web-site
www.desmos.com
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To see many similar problems solved, look into the lesson
- Solving systems of inequalities in two unknown graphically in a coordinate plane
in this site.