Operations Research: Integer Programming - Modeling

You have just inherited $2,000,000. You can either hold onto your cash or use it all to start a widget manufacturing firm. Your prospective firm would make two types of widgets: red and blue. Red and blue widgets draw profits of $150 and $300 per widget respectively. Your firm would have 40,000 pounds of widget glue and 45,000 pounds of widget metal: the only two things needed to make widgets. Red widgets take 2 pound of widget glue and 2 pounds of widget metal. Blue widgets take 3 pounds of widget glue and 4 pounds of widget metal. Write an IP to help you determine whether to hold onto your cash or start a widget firm. Your IP should also tell you how many red and blue widgets to make if you start the firm