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 supply constraint for component 1.
A) x21 + x22 ≤ 8000
B) x12 + x22 ≥ 8000
C) x11 + x12 ≤ 8000
D) x21 + x22 ≥ 8000

Question

Quizplus · Accepted Answer

The supply constraint for component 1 involves the total amount of component 1 used in both types of gasoline, which is represented by x11 (component 1 in gasoline 1) and x12 (component 1 in gasoline 2). The constraint should ensure that the total usage does not exceed the available supply of 8000 gallons, hence x11 + x12 ≤ 8000.

Let Xij = Gallons of Component I Used in Gasoline