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.