Question: Wilmington Winged Widgets manufactures both wing nut and wingless widgets. A batch of wingless widgets require one hour of machine labor and two hour of manual labor, whereas a batch of wing nut widgets require one hours of machine labor and one hour of manual labor. The company earns $3 per batch of wingless widgets and $5 per batch of wing nut widgets that they manufacture and sell. How many batches of each type of widgets should the company produce daily if it wants to maximize profits, given that they have 20 hours of machine tiMeand 30 hours of manual labor available daily?