I am working on this Problem below and I am having trouble coming up with one of the constraints.
1) At a certain refinery, the refining process requires the production of at least two gallons of gasoline for each gallon of fuel oil. To meet the anticipated demands of winter, at least three million gallons of fuel oil a day will need to be produced. The demand for gasoline, on the other hand, is not more than 6.4 million gallons a day.
If gasoline is selling for $1.90 per gallon and fuel oil sells for $1.50/gal, how much of each should be produced in order to maximize revenue?
a) Formulate the linear programming model for the problem.
b) Use the Graphical method to find the optimal solution. Show all steps.
c) Use Excel Solver or LINDO to find the optimal solution. Copy and paste your entire solution from Excel or LINDO.
This is what I have formulated so far:
Max = 1.90x + 1.50y
and I cant figure out how to formulate "the production of at least two gallons of gasoline for each gallon of fuel oil."
Any help? and am I doing this correctly?