Carmen's fruitcakes must be baked, must be drowned in brandy and sit for four weeks before being drowned again in brandy a second time before it is sold. Each fruitcake requires a cup of brandy for each marination.
If brandy comes in gallon jugs, what is the economic order quantity if Carmen sells 233 fruitcakes every 4 weeks? The gallons of brandy costs $400 each, and have a holding cost of 0.2% per 4 weeks for insurance against shrinkage. Setup costs are $30 per order. Answer in whole units and show your calculations.