SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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      Log On


   

Question 1188471: 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.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
              PRICE         QUANTITY           COST

Pork           180            p                180p

Beef           220            b                220b

                            at least 30       at most 12000

You can figure how to graph the system anyhow you want.
system%28p%2Bb%3E=30%2C180p%2B220b%3C=12000%29

Only positive values for p and b are allowed.

Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 = %28-180%2F220%29x+%2B+12000%2F180.



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 (!)

--------------

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.