SOLUTION: A company makes backpacks and briefcases. Daily output cannot exceed a total of 40 backpacks and briefcases. A maximum of 20 backpacks can be made in 1 day. The maximum daily outpu

Click here to see ALL problems on Inequalities

Question 1002531: A company makes backpacks and briefcases. Daily output cannot exceed a total of 40 backpacks and briefcases. A maximum of 20 backpacks can be made in 1 day. The maximum daily output of briefcases is 30. Draw a graph that shows the possible number of bags that can be made in 1 day.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A company makes backpacks and briefcases. Daily output cannot exceed a total of 40 backpacks and briefcases. A maximum of 20 backpacks can be made in 1 day. The maximum daily output of briefcases is 30. Draw a graph that shows the possible number of bags that can be made in 1 day.
-------------------------
p + c <= 40
p <= 20
c <= 30
--------
Draw a coordinate system with axes p and c. (Let c by the horizontal axis)
-----
Draw a vertical line at c = 30
Draw a horizontal line at p = 20
Graph p <= -c+40 as the line p = -c+40 and the area below it down to p = 0
-----------
Note: Keep p <= 20.
That is the graph you want.
-------------
Cheers,
Stan H.
-----------