(20 points) A political campaign needs to hire two types of paid interns (in the field and in the office). They need at least 40 total interns. There has to be at least 15 in the field interns. The in the field interns has at most 3 times the number of in the office interns. The campaign wants to minimize the cost of paying for interns. During the campaign, the office interns cost $600 each and field interns cost $525 each. How many of each intern are hired to minimize cost