The profit on the sale of a small bag of popcorn is $1, while the profit on the sale of a medium bag of popcorn is $2. The Glee Club expects to sell fewer than 100 total bags of popcorn, but they hope to make more than $100 in profit. The system that represents this is s+m<100 and s+2m>100. The graph of the boundary lines is shown below. Which regions should be shaded (to form the solution)?
Answers
Answer:
Step-by-step explanation:
If we let s be the y axis, and m be the x axis.
s+m<100
s<100-m (0<m<100)
...
s+2m>100
s>100-2m (0<m<100)
....
Taken together we have:
100-2m<s<100-m
And 0<s<100
So you would end up with a region bounded by s=100-2m on the left, s=100-m on the right, (the lines themselves are not part of the solution set) a vertical line m=1 and a horizontal line s=1. Hopefully you can visualize that from your answer choices. :)
And as the other poster pointed out, if the axis are reversed you will of course have this area rotated about the 45° line y=x.
If we let s be the y axis, and m be the x axis.
s+m<100
s<100-m (0<m<100)
...
s+2m>100
s>100-2m (0<m<100)
....
Taken together we have:
100-2m<s<100-m
And 0<s<100
So you would end up with a region bounded by s=100-2m on the left, s=100-m on the right, (the lines themselves are not part of the solution set) a vertical line m=1 and a horizontal line s=1. Hopefully you can visualize that from your answer choices. :)
And as the other poster pointed out, if the axis are reversed you will of course have this area rotated about the 45° line y=x.