A studio that makes statues is trying to maximize its profit. Their two primary products are the Venus and David statues. Each Venus requires 24 minutes of machine time to rough cut the shape and 80 minutes of craftsman time to finish the details. The David requires 40 minutes on the machines and 48 minutes with the craftsman's hand. The studio is limited each day to 480 minutes of machine time and 960 minutes of craftsman time. Both use 56 pounds of stone, and the studio has 784 pounds of stone available per day. If each Venus brings in a profit of ninety-seven dollars, and each David brings in fifty-two dollars, how many statues of each type should the studio make each day?

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