A polutry farm owns 100 laying hens. Each week a hen can either lay 12 eggs or hatch 4 eggs, but not both. At the end of the four-week period all eggs and chicks will be sold: an egg will bring 10 cents, and a chick will bring 60 cents. Assume that an egg can be hatched only in the week after it is laid. Otherwise it must be saved and sold for 10 cents. Assume that there are no eggs available for hatching in the first week. Suggest a hen managentment strategy that will maximize profit for this operation.