Vincent Cardoza is the owner and manager of a machine shop that works to order. On Wednesday afternoon he received calls from two customers who need urgent orders. A compact car hauler needs stabilizer bars. A trailer hitch company requires special heavy-duty tow bars. Both customers want as much as possible by the weekend (two business days). Since the two products will use the same two machines, Vincent must decide and tell you this afternoon how many of each product he will make in the next two days. Each tow bar requires 3.2 hours on
Vincent Cardoza is the owner and manager of a machine shop that works to order. On Wednesday afternoon he received calls from two customers who need urgent orders. A compact car hauler needs stabilizer bars. A trailer hitch company requires special heavy-duty tow bars. Both customers want as much as possible by the weekend (two business days). Since the two products will use the same two machines, Vincent must decide and tell you this afternoon how many of each product he will make in the next two days.
Each tow bar requires 3.2 hours on machine 1 and 2 hours on machine 2. Each sway bar requires 2.4 hours on machine 1 and 3 hours on machine 2. Machine 1 will be available for 16 hours over the next two days and machine 2, 15 hours. The profit on each tow bar produced will be $130 and the profit on each stabilizer bar will be $150.
Vincent wants to determine the mix of these production quantities that will maximize his total profit.
a) Formulate the BIM model for this problem.
b) Use the computer to solve this model.
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