13. A company is considering opening a regional distribution center at an initial cost of $261,000. The management thinks that increased sales will offset the cost after a short period of time. The rate of increased sales over the next 15 years is assumed to be 16)= 7,500 +6,000r where / represents the number of years and 1(6) is the increased sales (in dollars) at any time. Would this regional center pay for itself in 4 years? If not, how many years would it take to pay for itself? Hint: The actual increase after 4 years is given by S() = S7x)dx