According to automobile association of a country,on March 27,2009,the national average price per gallon of regular unleaded (85-octane)gasoline was $2.02,and the price of premium unleaded (93-octane)gasoline was $2.23.The cost of the blend of mid-grade unleaded gasoline (92-octane).Determine the constraints for the objective function.
A)x ≥ 0 y ≥ 0
X + y = 92
85x + 93y = 92
B)x ≥ 0 y ≥ 0
X + y = 1
85x + 93y = 92
C)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 93
D)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 92
E)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 85

Question

According to automobile association of a country,on March 27,2009,the national average price per gallon of regular unleaded (85-octane)gasoline was $2.02,and the price of premium unleaded (93-octane)gasoline was $2.23.The cost of the blend of mid-grade unleaded gasoline (92-octane).Determine the constraints for the objective function. ​
A)x ≥ 0 y ≥ 0
X + y = 92
85x + 93y = 92
B)x ≥ 0 y ≥ 0
X + y = 1
85x + 93y = 92
C)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 93
D)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 92
E)x ≥ 0 y ≥ 0
X + y = 92
2)02x + 2.23y = 85

Quizplus · Accepted Answer

The constraints for the objective function are that both x and y (representing the amounts of 85-octane and 93-octane gasoline) must be non-negative, and their sum must equal the total amount of mid-grade gasoline being considered. Therefore, the correct constraints are x ≥ 0, y ≥ 0, and x + y = 1. This constraint ensures that the total amount of gasoline being considered is one unit, which corresponds to a blend of mid-grade gasoline. Thus, choice B is the best answer.

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