Tony wants to plant at least 40 acres of corn and at least 50 acres of soybeans. he wants no more than 200 acres of corn and soybeans. show and describe all the possible combinations of the number of acres and of soybeans tony could plant. list two possible combinations.

Let
x------------------- >acres of corn
y------------------- >acres of soybeans
we have that
x>=40
y>=50
and 
x+y <= 200------------------ > y <= 200-x

using a graph tool
see the solution in the attached figure

the solution is the triangle formed with the point ABC
A(40,50) -------- > minimum acres of corn (40) and minimum acres of                                           soybeans (50)
B(40,160) -------> minimum acres of corn (40) and maximum acres of                                           soybeans (160)
C(150,50) ------ > maximum acres of corn (150) and minimum acres of                                           soybeans (50)

List two possible combinations

see the graph
point (100,100)---> acres of corn 100 and acres of soybeans 100
point (50,150)---> acres of corn 50 and acres of soybeans 150

639 ×

The correct answer would be the fourth choice