a widget manufacturing company makes big widgets and smallwidgets. Each widget must processed in a wood shop and in a paintshop. It takes 480 minutes of process time per work day per shop.If the paint shop paints only small widgets, then 60 can be paintedper day. If the paint shop paints large widgets only then 40 can bepainted per day. If the wood shop only process large widgets onlythen it could process 50 widgets per day. If the wood shop canprocess small widgets it could process 50 per day. Each smallwidget makes $200 profit and each large widget makes $300 profit.First calculate duration . How long does it take to paint a smalland large widget. Define decision variables and formulate LinearProgram to determine optimal daily product mix to maximize profit.Then use graphical solution to solve Linear Program and provideoptimal solution and its objective function.
