You need to do few quick calculations, full fledged LP will be very time consuming. Try answering these questions and you may find solution
1. What is marginal fuel for refinery i.e. if you increase / reduce fuel gas/oil what will be the change in overall balance of refinery. Few refineries have fuel import e.g. natural gas which would increase if energy demand increases and would reduce if fuel gas production increases for fixed demand. In few cases it is fuel oil product from refinery
2. Do you have flexibility to replace fuel gas/fuel oil with marginal fuel e.g. if fuel consumption increases, natural gas can only be used for burners designed for gas / dual firing. This activity could be time consuming as you have to look at all possible firing options. Someone in refinery who knows fuel balance can help you with this
3. Do you know LHV of marginal fuel, fuel gas and fuel oil
4. What is cutter stock? If it is final product, you can price it; use specs for final product and refinery fuel oil. If it is intermediate stream, all the best 
In recent project, I used refinery-wide detailed simulation to price these streams which worked very well.
Hope this helps.