Question 5 please

5.(20 points) This problem is from the Text. 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 processing times (in hours) in Table 1. Each machine is available 40 hours per month. Each part manufactured will yield a unit profit as shown in Table 2. Ed wants to determine the mix of spare parts to produce in order to maximize total profit. First define the decision variables needed and then formulate a linear programming model for this problem. Table 1 Part Machine B 1 2 0.02 0.05 0.03 0.02 0.05 0.04 Table 2 Part B Profit $50 $40 $30