Use the graphical and simplex method

Question 3: Ed Butler is the production manager for the Bilco Corporation, which produces three types of spare parts for automobiles. The manufacture of each part requires processing on each of two machines, with the following processing times in hours): Part B A Machine 1 2 0.02 0.05 0.03 0.02 C 0.05 0.04 Each machine is available 40 hours per month. Each part manufactured will yield a unit profit as follows: A $50 Part B $40 C $30 Profit Ed wants to determine the mix of spare parts to produce in order to maximize total profit. (a) Formulate a linear programming model for this