The Two-Rivers Oil Company near Pittsburgh transports gasoline to its distributors by trucks. The company recently has received a contract to begin supplying gasoline distributors in southern Ohio and has $300,000 available to spend on the necessary expansion of its fleet of gasoline tank trucks (i.e., buying new trucks). However, the monthly operating expense for new vehicles should be as low as possible. ThrThe company estimates that the monthly demand for the region will be a total of 550,000 gallons of gasoline. Due to the size and speed difference of the trucks, the different truck models will vary in terms of the number of deliveries or round trips possible per month. Trip capacities are estimated at 15 per month for the Super Tanker, 20 per month for the Regular Line, and 25 per month for the Econo-Tanker. Based on maintenance and driver availability, the firm does not want to add more than 15 new vehicles to its fleet. In addition, the company would like to make sure it purchases at least three of the new Econo-Tankers to use on the short-run low-demand routes. Also, the company does not want more than half of the new models to be Super Tankers.
Use proper parameters/data provided above to write the LP form that presents this problem. Your formulation will include:
Definition of the decision variables
Constraint requirements
Business objective
models of gasoline tank truck are available: