Question 1188471
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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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<pre>
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 = {{{(-180/220)x + 12000/180}}}.



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.
</pre>

Happy learning (!)


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www.desmos.com



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To see many similar problems solved, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Graphs/Solving-systems-of-inequalities-in-two-unknown-graphically-in-a-coordinate-plane.lesson>Solving systems of inequalities in two unknown graphically in a coordinate plane</A> 

in this site.