A blacksmith with 80 kg. of steel and 120 kg. Aluminum wants to make touring and mountain bikes that he wants to sell each at $5,000 and $7,000 pesos respectively to get the maximum profit. For the walk he will use 1 kg. of steel and 3 kg of aluminum, and for the mountain 2 kg. of both metals. a) Formulate a set of linear equations to describe the objective function and the constraints. b) Use graphical analysis to find the visual solution. c) How many city and mountain bikes will you have to make to get the maximum profit? Solve by the simplex method.