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 constraint stating that the component 1 cannot account for more than 35% of the gasoline type 1.
A) x11 + x12 (.35)(x11 + x21)
B) x11 + .35(x11 + x12)
C) -.65x11 + .35x21 ? 0
D) .65x11 - .35x21 ? 0

Question

Quizplus · Accepted Answer

The constraint stating that component 1 cannot account for more than 35% of gasoline type 1 can be written as 0.35x11 ≥ x12, which can be rearranged as x12 - 0.35x11 ≤ 0. This can be written in the format of the given choices as .65x11 - .35x21 ≤ 0, which corresponds to choice D.

Let Xij = Gallons of Component I Used in Gasoline