The cost to build an amusement park ride by a certain contractor is represented by the function: Cost = 2*x2 – 10/x + 36*y + 25
where x is the number of people able to be on the ride at once. For what value of x would unit cost be minimized? What is the minimum cost for this number of passengers? Show mathematically that the value found is truly a minimum and discuss whether this solution is feasible.