A travel company operates two types of vehicle, A and B. Vehicle A can carry 40 passengers and 30 tons of baggage. Vehicle B can carry 60 passengers but only 15 tons of baggage. The travel company is contracted to carry at least 960 passengers and 360 tons of baggage per journey. If a vehicle A costs $1,000 to operate per journey and vehicle B costs $ 1,200 to operate per journey, what choice of vehicle will minimize the total cost per journey?
- Define the objective function for a firm and the decision variables
- Define the constraints for the problem (constraint for passengers and baggage)
- Solve the problem for excel, which is the optimal amount of A and B that minimize the costs?