the math department is organizing a trip to kennedy space center. currently 60 people have signed up for the trip and each student has to pay $500 for the trip. each time the price is increased by $50, three students opt out of the trip. The math department has chartered (hired) a bus for $1000 for the whole trip. In addition, the math department has to pay $50 for each student that goes on the kennedy space centre trip. Determine the trip price that will give the largest profit?