Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8000 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons, respectively. Write the demand constraint for gasoline type 1.
A) x21 + x22 = 11000
B) x12 + x22 = 11000
C) x11 + x21 ≤ 11000
D) x11 + x21 = 11000

Question

Quizplus · Accepted Answer

The demand constraint for gasoline type 1 should ensure that the total gallons of both components used in gasoline type 1 equals the demand for gasoline type 1, which is 11,000 gallons. This is correctly represented by x11 (gallons of component 1 in gasoline 1) plus x21 (gallons of component 2 in gasoline 1) equaling 11,000 gallons.

Let Xij = Gallons of Component I Used in Gasoline