Question 1112384
x = number of full page ads in Sports Illustrated.
y = number of full page ads in GQ.


you want to put at least 3 full page ads in Sports Illustrated and at least 3 full page ads in GQ.


the formula for that is:


x >= 3 and y >= 3


each full page ad in Sports Illustrated is estimated to be read by 640,000 readers in the target group.


each full page ad in GQ is estimated to be read by 160,000 readers in the target group.


you want to reach at least 3 million readers.


the formula for that is:


640,000 * x + 160,000 * y >= 3,000,000


those are your constraint inequalities.


x >= 3
y >= 3
640,000 * x + 160,000 * y >= 3,000,000


using the desmos.com calculator, you would graph the opposite of these inequalities.


in other words, you would graph:


x <= 3
y <= 3
640,000 * x + 160,000 * y <= 3,000,000


the region of the graph that is NOT shaded is your region of feasibility.


here's what the graph looks like.


<img src = "http://theo.x10hosting.com/2018/031701.jpg" alt="$$$" >


the smaller x value is 3.
it is paired with the y value of 6.75.
this means 3 full page ads in Sports Illustrated and 6.75 full page ads in GQ.


you would probably round up to the next highest integer.


3 * 640,000 + 6.75 * 160,000 = 3,000,000
3 * 640,000 + 7 * 160,000 = 3,040,000.


the constraints are satisfied.
x >= 3 and y >= 3
640,000 * x + 160,000 * y >= 3,000,000


the larger x-value is 3.938.
it is paired with the y-value of 3.
that means 3.938 full page ads in Sports Illustrated and 3 full page ads in GQ.


once again, you would probably round up to the next highest integer.


3.938 * 640,000 + 3 * 160,000 = 3,000,320
4 * 640,000 + 3 * 160,000 = 3,040,000


the constraints are satisfied.
x >= 3 and y >= 3
640,000 * x + 160,000 * y >= 3,000,000.


your solution is that the corner points of the region are:


(x,y) = (3,6.75) for the smaller value of x.


(x,y) = (3.938,3) for the larger value of x.