A cranberry juice producer can source its cranberries from two plants: plant A and plant B. It costs the producer $6 to process every kilogram of cranberries from plant A, and costs $4 to process every kilogram of cranberries from plant B. The budget on total processing costs must be kept to less than $60 per day. In order to keep his plant running, the cranberry juice producer must process at least 12 kilograms of cranberries each day. Every kilogram of cranberries from plant A yield 10 bottles of juice, and every kilogram of cranberries from plant B yield 15 bottles of juice. The juice producer's objective is to maximize the total production of cranberry juice. Suppose the maximized production of cranberry juice before signing the contract with supplier is Z*, could the new maximized production of cranberry juice after signing the contract be higher than Z*