Question

Assume that we have two components that are mixed to produce two types of gasoline. There are 8000 gallons of component 1 available and 6000 gallons of component 2. The demand for gasoline types 1 and 2 are 11,000 and 14,000 gallons, respectively.

1) How many decision variables are needed to formulate this problem as LP model

2) Using the STANDARD FORM, One of the following represents the constraint stating that "the component 1 cannot account for more than 35% of the gasoline type 1

X11 ≤ 0.35X12

0.65X11 - 0.35X12 ≤ 0

X11/(X11+X12) ≤ 0.35

0.65X11 - 0.35X21 ≤ 0

3) One of the following represents the constraint for the demand on gasoline type 1(1 Point)

X11 + X21 ≤ 11000

X12 + X22 = 11000

X11 + X12 = 11000

X11 + X21 = 11000

Answer 1

Please refer the image for the solutions

1) 4 decision variables

2) 4th option

3) 4th option