1. (50 points) Yorktown company exports crude oil from United States to Canada by cargo plane, truck and ship. The company has $600000 available to develop its fleet. Here is the information on three forms of transportation. The company estimates that the monthly demand for the region will be at-least 550000g allons of crude oil. The number of deliveries or round trips possible per month for eads method of transportation will vary. Trip capacitien are entimated to be 15 trips per month by truck. 20 trips per month by ship, and 25 trips per month by cargo plane. The company does not want to add more than 15 new vehicles to its fleet. In addition, the company has decided to purchase at least three new cargo planes, As a final constraint, the company does not want more than half the new models to be trucks. 1. If the company wishes to satisfy the crude oil demand with a minimum monthly operating expense, how many models of each type of transportation should be purchased? (solution should be integer valued) 2. If the company did not require at least three cargo planes and did not limit the number of trucks to at most half the new models, how many models of each types of transportation should be purchased