According to automobile association of a country,on March 27,2009,the national average price per gallon of regular unleaded (86-octane)gasoline was $2.02,and the price of premium unleaded (91-octane)gasoline was $2.26.The cost of the blend of mid-grade unleaded gasoline (90-octane).Select a graph of the region determined by the constraints.
Constraints:

X ≥ 0
Y ≥ 0
X + y = 1
86x + 91y = 90

B)

Question

According to automobile association of a country,on March 27,2009,the national average price per gallon of regular unleaded (86-octane)gasoline was $2.02,and the price of premium unleaded (91-octane)gasoline was $2.26.The cost of the blend of mid-grade unleaded gasoline (90-octane).Select a graph of the region determined by the constraints. ​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y = 1
86x + 91y = 90
​
B)​

Quizplus · Accepted Answer

The given constraints form a feasible region which is a triangle. The graph in option C shows this triangle with the vertices at (0,0), (1,0), and (0,1) which are the intercepts of the lines x+y=1 and 86x+91y=90. Any point inside this feasible region satisfies the constraints. Therefore, the cost of the blend of mid-grade unleaded gasoline (90-octane) will be somewhere inside this region. Thus, option C is the best choice.

According to Automobile Association of a Country,on March 27,2009,the National